Pith Number

pith:FSDIJG7V

pith:2012:FSDIJG7VQDABNFIWRWFJGMWEFM

not attested not anchored not stored refs pending

Spectral Condition for a Graph to be Hamiltonian with respect to Normalized Laplacian

Gui-Dong Yu, Yi-Zheng Fan

arxiv:1207.6824 v1 · 2012-07-30 · 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{FSDIJG7VQDABNFIWRWFJGMWEFM}

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	2026-05-18T03:49:48.552503Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c86849bf580c01695168d8a9332c42b0e7fd98e36c6a969ca3b33ebebccaea4

Aliases

arxiv: 1207.6824 · arxiv_version: 1207.6824v1 · doi: 10.48550/arxiv.1207.6824 · pith_short_12: FSDIJG7VQDAB · pith_short_16: FSDIJG7VQDABNFIW · pith_short_8: FSDIJG7V

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/FSDIJG7VQDABNFIWRWFJGMWEFM \
  | 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: 2c86849bf580c01695168d8a9332c42b0e7fd98e36c6a969ca3b33ebebccaea4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f8ab2eb2d13c021cc9e8ece43312d5b6dceb9460b4a1f8c5508b66bcf8ffd32",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-30T02:34:53Z",
    "title_canon_sha256": "4471414386687f9ad358aaffedb5f0b7291882884f1ad12cd2f11b7390fd51b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6824",
    "kind": "arxiv",
    "version": 1
  }
}