Pith Number

pith:YIHB54UY

pith:2014:YIHB54UYABNU54NOA2L4NIATQG

not attested not anchored not stored refs pending

Sufficient spectral conditions on Hamiltonian and traceable graphs

Jie Xue, Ruifang Liu, Wai Chee Shiu

arxiv:1412.5273 v1 · 2014-12-17 · 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{YIHB54UYABNU54NOA2L4NIATQG}

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	2026-05-18T01:37:19.321085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c20e1ef298005b4ef1ae0697c6a01381bcd2f1b760080c368c43cd305f2f0b83

Aliases

arxiv: 1412.5273 · arxiv_version: 1412.5273v1 · doi: 10.48550/arxiv.1412.5273 · pith_short_12: YIHB54UYABNU · pith_short_16: YIHB54UYABNU54NO · pith_short_8: YIHB54UY

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/YIHB54UYABNU54NOA2L4NIATQG \
  | 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: c20e1ef298005b4ef1ae0697c6a01381bcd2f1b760080c368c43cd305f2f0b83

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9209a42278831342fd1be10204ae435e9114cf82830d6d3bdd770e0a1567278f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-12-17T07:13:51Z",
    "title_canon_sha256": "8586efcceb6141729c7331fe661d8ad3aef787c24e5c56d3331ce0aa34de9c1a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5273",
    "kind": "arxiv",
    "version": 1
  }
}