Pith Number

pith:JLM5VALR

pith:2014:JLM5VALRAIFWKLR625CM7XONWQ

not attested not anchored not stored refs pending

A study in sums of products

\'E. Fouvry, E. Kowalski, Ph. Michel

arxiv:1405.2293 v2 · 2014-05-09 · 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{JLM5VALRAIFWKLR625CM7XONWQ}

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	2026-05-18T01:35:12.283912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ad9da8171020b652e3ed744cfddcdb422a16549ba2e4b7a5c55b50bb7aed22d

Aliases

arxiv: 1405.2293 · arxiv_version: 1405.2293v2 · doi: 10.48550/arxiv.1405.2293 · pith_short_12: JLM5VALRAIFW · pith_short_16: JLM5VALRAIFWKLR6 · pith_short_8: JLM5VALR

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/JLM5VALRAIFWKLR625CM7XONWQ \
  | 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: 4ad9da8171020b652e3ed744cfddcdb422a16549ba2e4b7a5c55b50bb7aed22d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "910edb907f6f2f79fdc786449910a8325a690af22abf1552a9e4d4f6d95200c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-05-09T17:19:09Z",
    "title_canon_sha256": "b073f2d751cee38db1bf92cc9296bd392860589ab2b410d1db76e8f37e34023b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.2293",
    "kind": "arxiv",
    "version": 2
  }
}