Pith Number

pith:A22D6C2L

pith:2012:A22D6C2LOOTVBHZ2Q7MWIY6XTF

not attested not anchored not stored refs pending

Functions of noncommuting operators in an asymptotic problem for a 2D wave equation with variable velocity and localized right-hand side

2), (2) Moscow Institute of Physics, (3) University "La Sapienza, B. Tirozzi (3) ((1) Institute for Problems in Mechanics, D. Minenkov (1, Moscow, '' Rome), Russian Academy of Sciences, S. Dobrokhotov (1, Technology, V. Nazaikinskii (1

arxiv:1204.2639 v1 · 2012-04-12 · math.AP · math-ph · math.FA · 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{A22D6C2LOOTVBHZ2Q7MWIY6XTF}

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	2026-05-18T03:58:03.837432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06b43f0b4b73a7509f3a87d96463d79947fe28447b6d7b7f93302e9ec1296353

Aliases

arxiv: 1204.2639 · arxiv_version: 1204.2639v1 · doi: 10.48550/arxiv.1204.2639 · pith_short_12: A22D6C2LOOTV · pith_short_16: A22D6C2LOOTVBHZ2 · pith_short_8: A22D6C2L

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/A22D6C2LOOTVBHZ2Q7MWIY6XTF \
  | 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: 06b43f0b4b73a7509f3a87d96463d79947fe28447b6d7b7f93302e9ec1296353

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8dda12b36c35019f35589bcea2268418ce3fa6ce86099eea9f27b23d4770245",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-04-12T07:21:45Z",
    "title_canon_sha256": "b0b126a81e4bb9aa880ff7c8afab988bf2293c062cd2a907fd3410368b6e7381"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2639",
    "kind": "arxiv",
    "version": 1
  }
}