Pith Number

pith:QA7IMNA7

pith:2013:QA7IMNA77REANKIN3HPVFVGGBX

not attested not anchored not stored refs pending

Congruences for Generalized Frobenius Partitions with an Arbitrarily Large Number of Colors

Frank G. Garvan, James A. Sellers

arxiv:1305.6031 v1 · 2013-05-26 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QA7IMNA77REANKIN3HPVFVGGBX}

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	2026-05-18T02:51:57.080172Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

803e86341ffc4806a90dd9df52d4c60dcf08027e9dfe63121e3c98aa7dbcf58f

Aliases

arxiv: 1305.6031 · arxiv_version: 1305.6031v1 · doi: 10.48550/arxiv.1305.6031 · pith_short_12: QA7IMNA77REA · pith_short_16: QA7IMNA77REANKIN · pith_short_8: QA7IMNA7

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/QA7IMNA77REANKIN3HPVFVGGBX \
  | 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: 803e86341ffc4806a90dd9df52d4c60dcf08027e9dfe63121e3c98aa7dbcf58f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98506e21d0dbcade260cb3c548415c46a5258b77a5319fb75af03956f1203d47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-05-26T14:29:07Z",
    "title_canon_sha256": "0d64b407fe2762e7ca5467a8d4ea26a34b513a3535b3349942a2defe317d5bd5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6031",
    "kind": "arxiv",
    "version": 1
  }
}