Pith Number

pith:JOZHYVEZ

pith:2013:JOZHYVEZYPHDGUR6X3K54OJYGT

not attested not anchored not stored refs pending

Spectral conditions for the existence of specified paths and cycles in graphs

Huiqiu Lin, Mingqing Zhai, Shicai Gong

arxiv:1309.6700 v1 · 2013-09-26 · 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{JOZHYVEZYPHDGUR6X3K54OJYGT}

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	2026-05-18T03:12:10.796501Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bb27c5499c3ce33523ebed5de393834d09e0cfdcb798fc7a0332f0c076ba9dd

Aliases

arxiv: 1309.6700 · arxiv_version: 1309.6700v1 · doi: 10.48550/arxiv.1309.6700 · pith_short_12: JOZHYVEZYPHD · pith_short_16: JOZHYVEZYPHDGUR6 · pith_short_8: JOZHYVEZ

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/JOZHYVEZYPHDGUR6X3K54OJYGT \
  | 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: 4bb27c5499c3ce33523ebed5de393834d09e0cfdcb798fc7a0332f0c076ba9dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "564071b7e72159d5493ca4cb7e2ffb5b8ddd8dae035a9817ddf16105341339aa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-09-26T01:14:21Z",
    "title_canon_sha256": "13d7d527bcdb77d517bf2aaea3e1fd6784afa1388e0f2e5f73dc229fe2e98ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6700",
    "kind": "arxiv",
    "version": 1
  }
}