Pith Number

pith:4F7SJT5R

pith:2021:4F7SJT5RHWC6E3NKGAMX76H4TK

not attested not anchored not stored refs pending

Rational Hypergeometric Ramanujan Identities for $1/\pi^c$: Survey and Generalizations

Henri Cohen, Jes\'us Guillera

arxiv:2101.12592 v1 · 2021-01-29 · 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{4F7SJT5RHWC6E3NKGAMX76H4TK}

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	2026-07-05T02:10:45.763380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e17f24cfb13d85e26daa30197ff8fc9a8e463ba70985f501842132540051ed50

Aliases

arxiv: 2101.12592 · arxiv_version: 2101.12592v1 · doi: 10.48550/arxiv.2101.12592 · pith_short_12: 4F7SJT5RHWC6 · pith_short_16: 4F7SJT5RHWC6E3NK · pith_short_8: 4F7SJT5R

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/4F7SJT5RHWC6E3NKGAMX76H4TK \
  | 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: e17f24cfb13d85e26daa30197ff8fc9a8e463ba70985f501842132540051ed50

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "008993d5889b68ec036d0af3bc244a38d8eae65e6ff1a9a168d82b9c129186c4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-01-29T14:01:27Z",
    "title_canon_sha256": "ea4245d0b93913102d43d15b7decf6e9cf55c47220fb006b7d110d7c930f3577"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.12592",
    "kind": "arxiv",
    "version": 1
  }
}