Pith Number

pith:FELA2GAF

pith:2012:FELA2GAFOTFAROZ3ZBDKLDFFTJ

not attested not anchored not stored refs pending

Umbral Moonshine

Jeffrey A. Harvey, John F. R. Duncan, Miranda C. N. Cheng

arxiv:1204.2779 v3 · 2012-04-12 · math.RT · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FELA2GAFOTFAROZ3ZBDKLDFFTJ}

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.

Cited by

1 paper in Pith

On Uniqueness of Mock Theta Functions

Receipt and verification

First computed	2026-05-18T01:23:39.296897Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

29160d180574ca08bb3bc846a58ca59a4dfef870dac9aec79f5d88fa91d07627

Aliases

arxiv: 1204.2779 · arxiv_version: 1204.2779v3 · doi: 10.48550/arxiv.1204.2779 · pith_short_12: FELA2GAFOTFA · pith_short_16: FELA2GAFOTFAROZ3 · pith_short_8: FELA2GAF

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/FELA2GAFOTFAROZ3ZBDKLDFFTJ \
  | 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: 29160d180574ca08bb3bc846a58ca59a4dfef870dac9aec79f5d88fa91d07627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf304b1aed4dd25e2adfeffd33045eb85078e07e1030160a0ead3353a9527bff",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-04-12T17:33:32Z",
    "title_canon_sha256": "4046b5ca2a038ea17b9714abf40a6d093944e2418fa8482fd8b46161b355b183"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2779",
    "kind": "arxiv",
    "version": 3
  }
}