Pith Number

pith:UQDPINA7

pith:2013:UQDPINA77CWUL7Y554PTPSEN7T

not attested not anchored not stored refs pending

Inverses of gamma functions

Henrik L. Pedersen

arxiv:1309.2167 v1 · 2013-09-09 · math.CV · 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{UQDPINA77CWUL7Y554PTPSEN7T}

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	2026-05-18T03:13:47.027512Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a406f4341ff8ad45ff1def1f37c88dfcdd2863f79dacdcf1f0b1cc1ca4dc2179

Aliases

arxiv: 1309.2167 · arxiv_version: 1309.2167v1 · doi: 10.48550/arxiv.1309.2167 · pith_short_12: UQDPINA77CWU · pith_short_16: UQDPINA77CWUL7Y5 · pith_short_8: UQDPINA7

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/UQDPINA77CWUL7Y554PTPSEN7T \
  | 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: a406f4341ff8ad45ff1def1f37c88dfcdd2863f79dacdcf1f0b1cc1ca4dc2179

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb3bfca09d7320bf454f9c34ce7305748531f9fb4a4c2b40adff7b847ebd9174",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-09-09T14:19:02Z",
    "title_canon_sha256": "9ad570a9771c8386d6446d26c54bcf3b04595aa9421c5d3d435f5009cf3814d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.2167",
    "kind": "arxiv",
    "version": 1
  }
}