Pith Number

pith:3CNPZRHC

pith:2019:3CNPZRHC3JTO4IDMTLLI2FJN5N

not attested not anchored not stored refs pending

A Purely Algebraic Summation Method

Olivier Brunet

arxiv:1901.05661 v1 · 2019-01-17 · math.CA · 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{3CNPZRHC3JTO4IDMTLLI2FJN5N}

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	2026-05-17T23:54:38.775685Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d89afcc4e2da66ee206c9ad68d152deb7f1d5b4f419b7c488488eba6aec69e2f

Aliases

arxiv: 1901.05661 · arxiv_version: 1901.05661v1 · doi: 10.48550/arxiv.1901.05661 · pith_short_12: 3CNPZRHC3JTO · pith_short_16: 3CNPZRHC3JTO4IDM · pith_short_8: 3CNPZRHC

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/3CNPZRHC3JTO4IDMTLLI2FJN5N \
  | 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: d89afcc4e2da66ee206c9ad68d152deb7f1d5b4f419b7c488488eba6aec69e2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38b474de15881450295e4c4db9644be03fc0fdd1ef6a688a4075ad04b9fa6900",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-01-17T07:38:21Z",
    "title_canon_sha256": "905ac70c210ac0e8a0e92fbd8405b9db0be36b0769a010195b46a5381cafd3b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.05661",
    "kind": "arxiv",
    "version": 1
  }
}