Pith Number

pith:PHTDVVGB

pith:2013:PHTDVVGB4D527LSGMZDBHPFRUY

not attested not anchored not stored refs pending

The Algebraic Connectivity and the Clique Number of Graphs

Xiao-Dong Zhang, Ya-Lei Jin

arxiv:1307.0168 v1 · 2013-06-30 · 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{PHTDVVGB4D527LSGMZDBHPFRUY}

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	2026-05-18T03:19:34.114450Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79e63ad4c1e0fbafae46664613bcb1a627e479d156a62acbd52e47d93f2711bd

Aliases

arxiv: 1307.0168 · arxiv_version: 1307.0168v1 · doi: 10.48550/arxiv.1307.0168 · pith_short_12: PHTDVVGB4D52 · pith_short_16: PHTDVVGB4D527LSG · pith_short_8: PHTDVVGB

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/PHTDVVGB4D527LSGMZDBHPFRUY \
  | 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: 79e63ad4c1e0fbafae46664613bcb1a627e479d156a62acbd52e47d93f2711bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7e9c082bd040e472a096f497c537de4f619a7b50db58c2ae6db1c054e536e4b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-30T01:57:39Z",
    "title_canon_sha256": "6f84ea653050298aa7ca8a6f46c0a20b1b018552100060e280e4e8d4d7fa3e91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0168",
    "kind": "arxiv",
    "version": 1
  }
}