Pith Number

pith:TGAVXEEL

pith:2026:TGAVXEELPIOXVUEALIP7ZUPXXR

not attested not anchored not stored refs pending

Computing Gamma(p/q) with Beta function values

Jan L\"ugering

arxiv:2605.22888 v1 · 2026-05-21 · math.HO · 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{TGAVXEELPIOXVUEALIP7ZUPXXR}

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	2026-05-25T02:01:28.775568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99815b908b7a1d7ad0805a1ffcd1f7bc66481e475668dc029f016c0f085acbec

Aliases

arxiv: 2605.22888 · arxiv_version: 2605.22888v1 · doi: 10.48550/arxiv.2605.22888 · pith_short_12: TGAVXEELPIOX · pith_short_16: TGAVXEELPIOXVUEA · pith_short_8: TGAVXEEL

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/TGAVXEELPIOXVUEALIP7ZUPXXR \
  | 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: 99815b908b7a1d7ad0805a1ffcd1f7bc66481e475668dc029f016c0f085acbec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f850fa0cd334bec069463832dddfaa38219a7a5817eb5a2a0fa7a3d1489f9c9b",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.HO",
    "submitted_at": "2026-05-21T08:03:24Z",
    "title_canon_sha256": "c28dfaecfc6f93f3705435b1b82a22b570452c82b1d842c96244c3e55ebfae05"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.22888",
    "kind": "arxiv",
    "version": 1
  }
}