Pith Number

pith:AJRZ4O6B

pith:2016:AJRZ4O6BQ5WPWMP4VACO6NFGYK

not attested not anchored not stored refs pending

A combinatorial problem and numerical semigroups

Aureliano M. Robles-P\'erez, Jos\'e Carlos Rosales

arxiv:1605.03907 v1 · 2016-05-12 · math.CO · math.GR · 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{AJRZ4O6BQ5WPWMP4VACO6NFGYK}

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	2026-05-17T23:49:06.525829Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

02639e3bc1876cfb31fca804ef34a6c2b773748570b415353c6a7be69ba3b3ee

Aliases

arxiv: 1605.03907 · arxiv_version: 1605.03907v1 · doi: 10.48550/arxiv.1605.03907 · pith_short_12: AJRZ4O6BQ5WP · pith_short_16: AJRZ4O6BQ5WPWMP4 · pith_short_8: AJRZ4O6B

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/AJRZ4O6BQ5WPWMP4VACO6NFGYK \
  | 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: 02639e3bc1876cfb31fca804ef34a6c2b773748570b415353c6a7be69ba3b3ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a0dadabecd1755188be67fe2edf70a738dfc1da5f3dcd475e9942ffc4039e22",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-05-12T17:29:49Z",
    "title_canon_sha256": "93f1827ab5da5a58fc309bc3975737dbc7a3c02d398ceef452df4600980bc050"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.03907",
    "kind": "arxiv",
    "version": 1
  }
}