Pith Number

pith:3MML4P7R

pith:2016:3MML4P7RYHNWAS2ORDAESC3IQZ

not attested not anchored not stored refs pending

The odd-even invariant and Hamiltonian circuits in tope graphs

Jim Lawrence, Yvonne Kemper

arxiv:1610.05039 v1 · 2016-10-17 · 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{3MML4P7RYHNWAS2ORDAESC3IQZ}

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	2026-05-18T01:02:06.382505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db18be3ff1c1db604b4e88c0490b68864fb2d20e27fe98a59ad62b205838cf70

Aliases

arxiv: 1610.05039 · arxiv_version: 1610.05039v1 · doi: 10.48550/arxiv.1610.05039 · pith_short_12: 3MML4P7RYHNW · pith_short_16: 3MML4P7RYHNWAS2O · pith_short_8: 3MML4P7R

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/3MML4P7RYHNWAS2ORDAESC3IQZ \
  | 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: db18be3ff1c1db604b4e88c0490b68864fb2d20e27fe98a59ad62b205838cf70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cf193ad3aab92770cd4c296344375e9f10cb528b837ee9246bdc422c1e23356",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-10-17T10:41:12Z",
    "title_canon_sha256": "edfa3a51d016ad3738ab60b5b1c2416e29a00023fd43ddb69bdecdfeb4ddc1d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.05039",
    "kind": "arxiv",
    "version": 1
  }
}