Pith Number

pith:BPCSPN2S

pith:2003:BPCSPN2SGXVHJENLH4GPQGEPTG

not attested not anchored not stored refs pending

Twisted vertex operators and Bernoulli polynomials

Antun Milas, Benjamin Doyon, James Lepowsky

arxiv:math/0311151 v4 · 2003-11-10 · math.QA · hep-th · math-ph · math.MP · math.NT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPCSPN2SGXVHJENLH4GPQGEPTG}

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	2026-05-18T04:30:14.945707Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0bc527b75235ea7491ab3f0cf8188f99a4bbbab7fc1600b78525289785963919

Aliases

arxiv: math/0311151 · arxiv_version: math/0311151v4 · doi: 10.48550/arxiv.math/0311151 · pith_short_12: BPCSPN2SGXVH · pith_short_16: BPCSPN2SGXVHJENL · pith_short_8: BPCSPN2S

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/BPCSPN2SGXVHJENLH4GPQGEPTG \
  | 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: 0bc527b75235ea7491ab3f0cf8188f99a4bbbab7fc1600b78525289785963919

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d254e8fea38aa11b88fd76dff97600b5c8598b06131804971f21340a10961e74",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP",
      "math.NT",
      "math.RT"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2003-11-10T20:55:23Z",
    "title_canon_sha256": "245c3836ca378285c48f0b3602200bf3a760e4db8f40c3e21f4627f3a4ea668c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311151",
    "kind": "arxiv",
    "version": 4
  }
}