Pith Number

pith:5CCHXEIO

pith:2017:5CCHXEIOTMM4OVRWRAOR2WOZ5A

not attested not anchored not stored refs pending

More Infinite Products: Thue-Morse and the Gamma function

Jean-Paul Allouche, Jeffrey Shallit, Samin Riasat

arxiv:1709.03398 v2 · 2017-09-11 · 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{5CCHXEIOTMM4OVRWRAOR2WOZ5A}

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	2026-05-18T00:35:30.299849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8847b910e9b19c75636881d1d59d9e82029c3f8a766b89e74e5196126b4362a

Aliases

arxiv: 1709.03398 · arxiv_version: 1709.03398v2 · doi: 10.48550/arxiv.1709.03398 · pith_short_12: 5CCHXEIOTMM4 · pith_short_16: 5CCHXEIOTMM4OVRW · pith_short_8: 5CCHXEIO

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/5CCHXEIOTMM4OVRWRAOR2WOZ5A \
  | 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: e8847b910e9b19c75636881d1d59d9e82029c3f8a766b89e74e5196126b4362a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30a4194fd3236d782b306491b022c1743ecf2325d29e2bd9666fc1c15933dd6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-11T14:22:10Z",
    "title_canon_sha256": "cc6181c683b649ac1baeeeadb6e736aab1ed9db7cbf488d8407816c007ab51af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03398",
    "kind": "arxiv",
    "version": 2
  }
}