Pith Number

pith:E45EZBE5

pith:2013:E45EZBE523V7NEYVHMYPPDDWEY

not attested not anchored not stored refs pending

The inertia of weighted unicyclic graphs

Guihai Yu, Lihua Feng, Xiao-Dong Zhang

arxiv:1307.0059 v1 · 2013-06-29 · 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{E45EZBE523V7NEYVHMYPPDDWEY}

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	2026-05-18T03:19:34.361513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

273a4c849dd6ebf693153b30f78c7626249008f8531dfa503e7262f1763e0571

Aliases

arxiv: 1307.0059 · arxiv_version: 1307.0059v1 · doi: 10.48550/arxiv.1307.0059 · pith_short_12: E45EZBE523V7 · pith_short_16: E45EZBE523V7NEYV · pith_short_8: E45EZBE5

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/E45EZBE523V7NEYVHMYPPDDWEY \
  | 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: 273a4c849dd6ebf693153b30f78c7626249008f8531dfa503e7262f1763e0571

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67534310b8c0baf1bb403bebb04be18bb424c5df479d590e51fdf383b027e169",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-06-29T01:24:25Z",
    "title_canon_sha256": "81e3ee61683595ddc10603e7b763a05549db7e86aa5e8721232f2f46d0fe15b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0059",
    "kind": "arxiv",
    "version": 1
  }
}