Pith Number

pith:MO7SVBWY

pith:2013:MO7SVBWYXZ7UWZCLQITOMQULDB

not attested not anchored not stored refs pending

On a formula of T. Rivoal

Jean-Paul Allouche

arxiv:1307.3906 v1 · 2013-07-15 · 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{MO7SVBWYXZ7UWZCLQITOMQULDB}

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	2026-05-18T02:53:15.116802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63bf2a86d8be7f4b644b8226e6428b18418d2e5d4b3fcf345711c5327f1a7087

Aliases

arxiv: 1307.3906 · arxiv_version: 1307.3906v1 · doi: 10.48550/arxiv.1307.3906 · pith_short_12: MO7SVBWYXZ7U · pith_short_16: MO7SVBWYXZ7UWZCL · pith_short_8: MO7SVBWY

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/MO7SVBWYXZ7UWZCLQITOMQULDB \
  | 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: 63bf2a86d8be7f4b644b8226e6428b18418d2e5d4b3fcf345711c5327f1a7087

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f7e7d693c89f17e922344a8b8cb9d19898edf8efa37a0035f95670ce6cb59da",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-07-15T12:17:21Z",
    "title_canon_sha256": "7736a6304e2ff5c0952530d100b7a25b33c2680edc89d05663c43ea5c6d9431d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3906",
    "kind": "arxiv",
    "version": 1
  }
}