Pith Number

pith:TZBQOJMK

pith:2012:TZBQOJMKSBRMZ43LHEPHK5U3PJ

not attested not anchored not stored refs pending

Three-particle integrals with the Bessel functions

Alexei M. Frolov, David M. Wardlaw

arxiv:1211.4536 v7 · 2012-11-19 · math-ph · math.MP · physics.atom-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZBQOJMKSBRMZ43LHEPHK5U3PJ}

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	2026-05-18T03:03:57.701140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e4307258a9062ccf36b391e75769b7a78182fde0cc070a47678d470fd2bab76

Aliases

arxiv: 1211.4536 · arxiv_version: 1211.4536v7 · doi: 10.48550/arxiv.1211.4536 · pith_short_12: TZBQOJMKSBRM · pith_short_16: TZBQOJMKSBRMZ43L · pith_short_8: TZBQOJMK

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/TZBQOJMKSBRMZ43LHEPHK5U3PJ \
  | 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: 9e4307258a9062ccf36b391e75769b7a78182fde0cc070a47678d470fd2bab76

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b277d4cf3bf9a07f2520aa8f02703af9b495c0b150453975f1d6cb957a286cf",
    "cross_cats_sorted": [
      "math.MP",
      "physics.atom-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-11-19T19:12:32Z",
    "title_canon_sha256": "10dab4211327454c3341a48a661085f027e3371b10ef8b3282928b5e12be0a6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.4536",
    "kind": "arxiv",
    "version": 7
  }
}