Pith Number

pith:PH5EZJWQ

pith:2013:PH5EZJWQKQMDY7N56V4IIHWKPO

not attested not anchored not stored refs pending

Special values of the hypergeometric series

Akihito Ebisu

arxiv:1308.5588 v3 · 2013-08-26 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PH5EZJWQKQMDY7N56V4IIHWKPO}

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	2026-05-18T02:16:39.489153Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79fa4ca6d054183c7dbdf578841eca7ba653f3cb9668c399cefbd5ec67c1265c

Aliases

arxiv: 1308.5588 · arxiv_version: 1308.5588v3 · doi: 10.48550/arxiv.1308.5588 · pith_short_12: PH5EZJWQKQMD · pith_short_16: PH5EZJWQKQMDY7N5 · pith_short_8: PH5EZJWQ

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/PH5EZJWQKQMDY7N56V4IIHWKPO \
  | 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: 79fa4ca6d054183c7dbdf578841eca7ba653f3cb9668c399cefbd5ec67c1265c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06d03775db9cd5a724f03d3f3f41d9210c08f14b6b0837d15e77ffd7c14bdacc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-08-26T13:59:52Z",
    "title_canon_sha256": "e90f4d44b38e8ba59ef8bfad1e4f827dac7b16af51c072775a3a8e1f83daa637"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5588",
    "kind": "arxiv",
    "version": 3
  }
}