Pith Number

pith:X3IFIHLW

pith:2013:X3IFIHLWUR6MOV4DNVS6EJ6S6V

not attested not anchored not stored refs pending

Criticality of counterexamples to toroidal edge-hamiltonicity

Emily A. Marshall, M. N. Ellingham

arxiv:1312.1379 v1 · 2013-12-04 · 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{X3IFIHLWUR6MOV4DNVS6EJ6S6V}

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	2026-05-18T03:05:27.482026Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bed0541d76a47cc757836d65e227d2f554049a92ab4b5cc2a53dfd34a63b46c4

Aliases

arxiv: 1312.1379 · arxiv_version: 1312.1379v1 · doi: 10.48550/arxiv.1312.1379 · pith_short_12: X3IFIHLWUR6M · pith_short_16: X3IFIHLWUR6MOV4D · pith_short_8: X3IFIHLW

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/X3IFIHLWUR6MOV4DNVS6EJ6S6V \
  | 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: bed0541d76a47cc757836d65e227d2f554049a92ab4b5cc2a53dfd34a63b46c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6bde6301f33c2abddea0978c961ccfc643a8f83f0dfb8021cb9e222da4b94fef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-12-04T23:03:31Z",
    "title_canon_sha256": "b4d2ff572e712b334559d14afd37cce8872251c0785c022b8ad6793d8d88b877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.1379",
    "kind": "arxiv",
    "version": 1
  }
}