Pith Number

pith:SGV5KNTP

pith:2021:SGV5KNTPTD3QPMZRGKZ5I3R3FT

not attested not anchored not stored refs pending

Continued fraction formulae involving ratios of three gamma functions

Wenguang Zhai, Xiaodong Cao, Yoshio Tanigawa

arxiv:2111.14143 v1 · 2021-11-28 · 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{SGV5KNTPTD3QPMZRGKZ5I3R3FT}

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	2026-07-05T03:35:39.758869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

91abd5366f98f707b33132b3d46e3b2cc6ca68c53064c0f22f67820db38b8288

Aliases

arxiv: 2111.14143 · arxiv_version: 2111.14143v1 · doi: 10.48550/arxiv.2111.14143 · pith_short_12: SGV5KNTPTD3Q · pith_short_16: SGV5KNTPTD3QPMZR · pith_short_8: SGV5KNTP

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/SGV5KNTPTD3QPMZRGKZ5I3R3FT \
  | 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: 91abd5366f98f707b33132b3d46e3b2cc6ca68c53064c0f22f67820db38b8288

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8231cff38453d3fcdd398cc114be47c053c8ad1818583b21958e34f3b0748d14",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2021-11-28T13:43:27Z",
    "title_canon_sha256": "3e48f59c3bc7ba5ba37e07062b9b32b27c2834bdd65387b32fef2add12c4888e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.14143",
    "kind": "arxiv",
    "version": 1
  }
}