Pith Number

pith:7MIG5KH2

pith:2011:7MIG5KH23DTHWWHYJADDJ6KOD4

not attested not anchored not stored refs pending

Note on parity factors of regular graphs

Hongliang Lu

arxiv:1110.3198 v1 · 2011-10-14 · 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{7MIG5KH23DTHWWHYJADDJ6KOD4}

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	2026-05-18T04:10:57.780835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb106ea8fad8e67b58f8480634f94e1f0b4e3a6fee8ca9e35805da5887d76360

Aliases

arxiv: 1110.3198 · arxiv_version: 1110.3198v1 · doi: 10.48550/arxiv.1110.3198 · pith_short_12: 7MIG5KH23DTH · pith_short_16: 7MIG5KH23DTHWWHY · pith_short_8: 7MIG5KH2

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/7MIG5KH23DTHWWHYJADDJ6KOD4 \
  | 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: fb106ea8fad8e67b58f8480634f94e1f0b4e3a6fee8ca9e35805da5887d76360

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc3f88a4cc8f4ac2549f073c80707fbff83c4827321970c3298dae7197aac503",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-10-14T13:15:56Z",
    "title_canon_sha256": "b9eac0014148f1657c749b0dd544f8fd00362a4df9e02c23ed39d538534fe9ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3198",
    "kind": "arxiv",
    "version": 1
  }
}