Pith Number

pith:NUF7XJYJ

pith:2013:NUF7XJYJPDPR4KAMJWD3YF3UVL

not attested not anchored not stored refs pending

A taste of nonstandard methods in combinatorics of numbers

Mauro Di Nasso

arxiv:1312.5059 v2 · 2013-12-18 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NUF7XJYJPDPR4KAMJWD3YF3UVL}

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	2026-05-18T01:04:09.679743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d0bfba70978df1e280c4d87bc1774aae20eda6432a08d3123cfe4169f500217

Aliases

arxiv: 1312.5059 · arxiv_version: 1312.5059v2 · doi: 10.48550/arxiv.1312.5059 · pith_short_12: NUF7XJYJPDPR · pith_short_16: NUF7XJYJPDPR4KAM · pith_short_8: NUF7XJYJ

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/NUF7XJYJPDPR4KAMJWD3YF3UVL \
  | 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: 6d0bfba70978df1e280c4d87bc1774aae20eda6432a08d3123cfe4169f500217

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e1c2b0fda3021e4cf085f8624affad615bd2ceb2c64e1b4ea72c14a69891a67",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-12-18T08:37:24Z",
    "title_canon_sha256": "cbd60fbaa3654ddbaa6a4752924d031b4c9065ba5576ffc68756a9e43dd78149"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5059",
    "kind": "arxiv",
    "version": 2
  }
}