Pith Number

pith:MGR6YFU7

pith:2018:MGR6YFU7S3N774IIOUH54EKUZZ

not attested not anchored not stored refs pending

Variations on a Hypergeometric Theme

Michael Milgram

arxiv:1803.03135 v3 · 2018-03-07 · math.CA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MGR6YFU7S3N774IIOUH54EKUZZ}

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	2026-05-17T23:58:19.425385Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a3ec169f96dbfff108750fde1154ce6046356fe02940a12a8f34c164f5bf83

Aliases

arxiv: 1803.03135 · arxiv_version: 1803.03135v3 · doi: 10.48550/arxiv.1803.03135 · pith_short_12: MGR6YFU7S3N7 · pith_short_16: MGR6YFU7S3N774II · pith_short_8: MGR6YFU7

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/MGR6YFU7S3N774IIOUH54EKUZZ \
  | 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: 61a3ec169f96dbfff108750fde1154ce6046356fe02940a12a8f34c164f5bf83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "66285e8e5a3ec51860438ac9333137fedee74c3ab23b8b30244d959aeb8e9e08",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2018-03-07T01:49:56Z",
    "title_canon_sha256": "f81b4cff3d47f7734b0850a4ac395463f173c3c5bf12a9466ec1b84e7e9a1ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03135",
    "kind": "arxiv",
    "version": 3
  }
}