Pith Number

pith:XQXX3YPA

pith:2013:XQXX3YPAKUGEEVQ7XNLI3N4LOK

not attested not anchored not stored refs pending

Newton representation of functions over natural integers having integral difference ratios

Irene Guessarian, Patrick Cegielski, Serge Grigorieff

arxiv:1310.1507 v1 · 2013-10-05 · cs.DM · 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{XQXX3YPAKUGEEVQ7XNLI3N4LOK}

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	2026-05-18T03:11:11.727887Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc2f7de1e0550c42561fbb568db78b72b8b986846503cb83015200df2bf1b7f8

Aliases

arxiv: 1310.1507 · arxiv_version: 1310.1507v1 · doi: 10.48550/arxiv.1310.1507 · pith_short_12: XQXX3YPAKUGE · pith_short_16: XQXX3YPAKUGEEVQ7 · pith_short_8: XQXX3YPA

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/XQXX3YPAKUGEEVQ7XNLI3N4LOK \
  | 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: bc2f7de1e0550c42561fbb568db78b72b8b986846503cb83015200df2bf1b7f8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2faab0ccfa420a3d00ac12e875121992dc967b47d81ac0e9ed2fd7a254624800",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DM",
    "submitted_at": "2013-10-05T18:37:52Z",
    "title_canon_sha256": "082cd6f38742ca4860ac5ad370a5d9c53a253c773ac3b514dfb38c7f812b558c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.1507",
    "kind": "arxiv",
    "version": 1
  }
}