Pith Number

pith:QTBIRIMO

pith:2013:QTBIRIMO5R3LVDI2XASCNAYH6N

not attested not anchored not stored refs pending

New formulas for Maslov's canonical operator in a neighborhood of focal points and caustics in 2D semiclassical asymptotics

2), (2) Moscow Institute of Physics, (3) Department of Applied Mathematics, 4), (4) Institute of Applied, (5) Radboud University Nijmegen, Computational Mathematics, Crete, Dolgoprudny, Foundation for Research, G. Makrakis (3, Greece, Heraklion, Institute for Molecules, Materials, Moscow, Moscow District, Russia, S. Yu. Dobrokhotov (1, Technology, Technology-Hellas, the Netherlands), T. Ya. Tudorovskii (5) ((1) A. Ishlinsky Institute for Problems in Mechanics, University of Crete, V. E. Nazaikinskii (1

arxiv:1308.0182 v1 · 2013-08-01 · math-ph · math.AP · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QTBIRIMO5R3LVDI2XASCNAYH6N}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T01:48:31.718891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

84c288a18eec76ba8d1ab824268307f34e760cd9f4e6434ef1005709456557ee

Aliases

arxiv: 1308.0182 · arxiv_version: 1308.0182v1 · doi: 10.48550/arxiv.1308.0182 · pith_short_12: QTBIRIMO5R3L · pith_short_16: QTBIRIMO5R3LVDI2 · pith_short_8: QTBIRIMO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QTBIRIMO5R3LVDI2XASCNAYH6N \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 84c288a18eec76ba8d1ab824268307f34e760cd9f4e6434ef1005709456557ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33fe99313f2351e4a18be4040ef26d6714955bd6fb8886189ca624b10aa47ada",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-08-01T12:53:06Z",
    "title_canon_sha256": "49cde1ce8f9df2ad3c6f0c57bee5ad8f278774b13787d6fe93a1c487bf7e5840"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0182",
    "kind": "arxiv",
    "version": 1
  }
}