Pith Number

pith:PWXX45OU

pith:2013:PWXX45OU5C7XRGZFZVJIZWAEID

not attested not anchored not stored refs pending

Sharp eigenvalue asymptotics for fourth order operators on the circle

Andrey Badanin, Evgeny Korotyaev

arxiv:1309.3447 v2 · 2013-09-13 · math-ph · 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{PWXX45OU5C7XRGZFZVJIZWAEID}

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	2026-05-18T03:07:54.307115Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7daf7e75d4e8bf789b25cd528cd80440f4286603cefc30c8bfa80b755ab51ada

Aliases

arxiv: 1309.3447 · arxiv_version: 1309.3447v2 · doi: 10.48550/arxiv.1309.3447 · pith_short_12: PWXX45OU5C7X · pith_short_16: PWXX45OU5C7XRGZF · pith_short_8: PWXX45OU

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/PWXX45OU5C7XRGZFZVJIZWAEID \
  | 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: 7daf7e75d4e8bf789b25cd528cd80440f4286603cefc30c8bfa80b755ab51ada

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9247ddb2707fb9dd5f2586b1d7f1c6975cd33a9d28140e3d74afe3021b40fa1d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-09-13T13:27:26Z",
    "title_canon_sha256": "5ddf53ca8b13cc77c2d7a5946c4678ed8cec6ba768e5a5901e60f146b4d621d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3447",
    "kind": "arxiv",
    "version": 2
  }
}