Pith Number

pith:33UMQWGR

pith:2017:33UMQWGRAVKE37KTB4XLAFOEVT

not attested not anchored not stored refs pending

Note on extensions of the beta function

Mehar Chand

arxiv:1704.08191 v1 · 2017-04-17 · 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{33UMQWGRAVKE37KTB4XLAFOEVT}

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	2026-05-18T00:45:30.961103Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dee8c858d105544dfd530f2eb015c4accdd8e18c387bde69f2547707dff9c415

Aliases

arxiv: 1704.08191 · arxiv_version: 1704.08191v1 · doi: 10.48550/arxiv.1704.08191 · pith_short_12: 33UMQWGRAVKE · pith_short_16: 33UMQWGRAVKE37KT · pith_short_8: 33UMQWGR

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/33UMQWGRAVKE37KTB4XLAFOEVT \
  | 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: dee8c858d105544dfd530f2eb015c4accdd8e18c387bde69f2547707dff9c415

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191d953ceeb9a3cdc6bd3b3e71051c63356ffe5ead4fe22e2d2acc8a9e6b81c9",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-04-17T06:22:12Z",
    "title_canon_sha256": "0d352b9ea67ce841c2df5e0870ed31f9592663dbf8f374098d4191058d987dec"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08191",
    "kind": "arxiv",
    "version": 1
  }
}