Pith Number

pith:XAKUAGZN

pith:2017:XAKUAGZNDNJHDMEMZ4PAH2BINH

not attested not anchored not stored refs pending

Pentavalent symmetric graphs of order four times an odd square-free integer

Ben Gong Lou, Bo Ling, Ci Xuan Wu

arxiv:1702.05750 v1 · 2017-02-19 · 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{XAKUAGZNDNJHDMEMZ4PAH2BINH}

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	2026-05-18T00:50:25.418853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b815401b2d1b5271b08ccf1e03e82869d8c86a7110e28f7b028e8647e9ef15e4

Aliases

arxiv: 1702.05750 · arxiv_version: 1702.05750v1 · doi: 10.48550/arxiv.1702.05750 · pith_short_12: XAKUAGZNDNJH · pith_short_16: XAKUAGZNDNJHDMEM · pith_short_8: XAKUAGZN

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/XAKUAGZNDNJHDMEMZ4PAH2BINH \
  | 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: b815401b2d1b5271b08ccf1e03e82869d8c86a7110e28f7b028e8647e9ef15e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e21f3f91634bea2ff6502c97ef5c2aed55b0c33c8586590851e2ad4aa22084e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-19T13:27:51Z",
    "title_canon_sha256": "fff36f32b1e7ecc144cbec6080711c56339b51cd6a1dde3543a6e8f0f4218070"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05750",
    "kind": "arxiv",
    "version": 1
  }
}