Pith Number

pith:JEFXH22G

pith:2014:JEFXH22GLGY7VNXNKLWGFH2T6V

not attested not anchored not stored refs pending

Automated conjecturing of Frobenius numbers via grammatical evolution

Nikola Ad\v{z}aga

arxiv:1410.0532 v3 · 2014-10-02 · math.NT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JEFXH22GLGY7VNXNKLWGFH2T6V}

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	2026-05-18T00:48:10.176987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

490b73eb4659b1fab6ed52ec629f53f571a9a31caead9c0e23b066c3b04e0793

Aliases

arxiv: 1410.0532 · arxiv_version: 1410.0532v3 · doi: 10.48550/arxiv.1410.0532 · pith_short_12: JEFXH22GLGY7 · pith_short_16: JEFXH22GLGY7VNXN · pith_short_8: JEFXH22G

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/JEFXH22GLGY7VNXNKLWGFH2T6V \
  | 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: 490b73eb4659b1fab6ed52ec629f53f571a9a31caead9c0e23b066c3b04e0793

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05e30de13d538d5bc96bd9cac5653126b6801abcf820f168b0ce8e786f223ae",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-10-02T12:52:36Z",
    "title_canon_sha256": "ef59139b0d734c5170ce2a2176f7ccd1a3bf400c75081a5c8c2932b069c72c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.0532",
    "kind": "arxiv",
    "version": 3
  }
}