Pith Number

pith:3BJ5L25O

pith:2013:3BJ5L25O3PETFH3KW443QNKOON

not attested not anchored not stored refs pending

Unified treatment of Explicit and Trace Formulas via Poisson-Newton formula

Ricardo P\'erez-Marco, Vicente Mu\~noz

arxiv:1309.1449 v2 · 2013-09-05 · math.NT · math.CV

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3BJ5L25O3PETFH3KW443QNKOON}

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	2026-05-18T02:39:24.058046Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d853d5ebaedbc9329f6ab739b8354e73571072ad5d2ee71c7701e08409bbc6c1

Aliases

arxiv: 1309.1449 · arxiv_version: 1309.1449v2 · doi: 10.48550/arxiv.1309.1449 · pith_short_12: 3BJ5L25O3PET · pith_short_16: 3BJ5L25O3PETFH3K · pith_short_8: 3BJ5L25O

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/3BJ5L25O3PETFH3KW443QNKOON \
  | 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: d853d5ebaedbc9329f6ab739b8354e73571072ad5d2ee71c7701e08409bbc6c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "899647ffebe9e19c02b361959031dc21540efa59bba4cde16c6dd7efc952668a",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-05T19:19:38Z",
    "title_canon_sha256": "95b41192d82598cc6a35839ca5e2394165668051a88b9522241b285c2de4f6fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1449",
    "kind": "arxiv",
    "version": 2
  }
}