Pith Number

pith:4HSMUC2D

pith:2013:4HSMUC2D4O7IK2ANZZH6RZJITF

not attested not anchored not stored refs pending

On gamma quotients and infinite products

Armin Straub, Marc Chamberland

arxiv:1309.3455 v1 · 2013-09-13 · 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{4HSMUC2D4O7IK2ANZZH6RZJITF}

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	2026-05-18T03:13:22.547095Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1e4ca0b43e3be85680dce4fe8e52899625f2b154fea072a80bb78df2be5a633

Aliases

arxiv: 1309.3455 · arxiv_version: 1309.3455v1 · doi: 10.48550/arxiv.1309.3455 · pith_short_12: 4HSMUC2D4O7I · pith_short_16: 4HSMUC2D4O7IK2AN · pith_short_8: 4HSMUC2D

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/4HSMUC2D4O7IK2ANZZH6RZJITF \
  | 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: e1e4ca0b43e3be85680dce4fe8e52899625f2b154fea072a80bb78df2be5a633

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d54067c1853067197cebbc7a7389ca2d5c786d356adae8b8d2afd2b971072b2a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-13T13:48:18Z",
    "title_canon_sha256": "785acbc9575f7cb0b50ed3baafffabe23951bb8df06d0f352e8f644333f1d848"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3455",
    "kind": "arxiv",
    "version": 1
  }
}