Pith Number

pith:UGDUIINA

pith:2009:UGDUIINAMDCVEU2OANNSFYDYFH

not attested not anchored not stored refs pending

Vertex Operators and Modular Forms

Geoffrey Mason, Michael P. Tuite

arxiv:0909.4460 v1 · 2009-09-24 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UGDUIINAMDCVEU2OANNSFYDYFH}

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	2026-05-18T04:27:36.375544Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1874421a060c552534e035b22e07829e117aaa36da44a59391a2f4e1dbc1119

Aliases

arxiv: 0909.4460 · arxiv_version: 0909.4460v1 · doi: 10.48550/arxiv.0909.4460 · pith_short_12: UGDUIINAMDCV · pith_short_16: UGDUIINAMDCVEU2O · pith_short_8: UGDUIINA

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/UGDUIINAMDCVEU2OANNSFYDYFH \
  | 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: a1874421a060c552534e035b22e07829e117aaa36da44a59391a2f4e1dbc1119

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d5ac82c1cf2aefff0efa93f9e5ea8d1b56014b6ca29407526d67b6e059d58ce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2009-09-24T14:46:24Z",
    "title_canon_sha256": "ea705b7f34c7b67ebaa5e25d0c245c5703780e9ead455df0f283109c203573fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4460",
    "kind": "arxiv",
    "version": 1
  }
}