Pith Number

pith:FZBFSY6W

pith:2019:FZBFSY6W6I3WEOUPSLRBAAW65B

not attested not anchored not stored refs pending

Extra-factorial sum: a graph-theoretic parameter in Hamiltonian cycles of complete weighted graphs

N. A. Valous, V. Papadinas, W. Xiong

arxiv:1906.08765 v1 · 2019-06-20 · math.CO · cs.DM

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FZBFSY6W6I3WEOUPSLRBAAW65B}

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	2026-05-17T23:42:49.393864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e425963d6f237623a8f92e21002dee8754164bd666c8e567a013208a20ccc08

Aliases

arxiv: 1906.08765 · arxiv_version: 1906.08765v1 · doi: 10.48550/arxiv.1906.08765 · pith_short_12: FZBFSY6W6I3W · pith_short_16: FZBFSY6W6I3WEOUP · pith_short_8: FZBFSY6W

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/FZBFSY6W6I3WEOUPSLRBAAW65B \
  | 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: 2e425963d6f237623a8f92e21002dee8754164bd666c8e567a013208a20ccc08

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd06ed49067271df0ec5564c8a31b24ff96a26ded7955e62a8366a3700058a59",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-06-20T17:43:51Z",
    "title_canon_sha256": "d9e9e7eca235b366fa622a1ebe75c9a92e0c4d899a4f7501312517ad45a0c40a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.08765",
    "kind": "arxiv",
    "version": 1
  }
}