Pith Number

pith:5Z4H5KUG

pith:2014:5Z4H5KUGAVTSY6CV3VOPDHCATT

not attested not anchored not stored refs pending

The spectra and the signless Laplacian spectra of graphs with pockets

Gui-Xian Tian, Shu-Yu Cui

arxiv:1405.0096 v2 · 2014-05-01 · 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{5Z4H5KUGAVTSY6CV3VOPDHCATT}

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	2026-05-18T02:52:33.615647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee787eaa8605672c7855dd5cf19c409cfe58e8b058edee25b36411d99f27783b

Aliases

arxiv: 1405.0096 · arxiv_version: 1405.0096v2 · doi: 10.48550/arxiv.1405.0096 · pith_short_12: 5Z4H5KUGAVTS · pith_short_16: 5Z4H5KUGAVTSY6CV · pith_short_8: 5Z4H5KUG

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/5Z4H5KUGAVTSY6CV3VOPDHCATT \
  | 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: ee787eaa8605672c7855dd5cf19c409cfe58e8b058edee25b36411d99f27783b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2031c7ad90a279e232409a7630e234aacfaa7a2eaf1bb744cdbb0127732d1de4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-05-01T05:05:38Z",
    "title_canon_sha256": "2964889a699d349694a855c8caff584544fdb3c4b9cb21246a15811b44a2d2b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0096",
    "kind": "arxiv",
    "version": 2
  }
}