Pith Number

pith:NJKB573P

pith:2025:NJKB573PNWVEZMGLX3554FOATF

not attested not anchored not stored refs pending

Inertia indices of signed graphs with given cyclomatic number and given number of pendant vertices

Fang Duan, Jie Pu

arxiv:2506.23112 v1 · 2025-06-29 · math.SP · math.ST · stat.TH

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NJKB573PNWVEZMGLX3554FOATF}

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	2026-07-05T11:29:15.783034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a541eff6f6daa4cb0cbbefbde15c09945ff63e21460d7e84ae5425438c1add8

Aliases

arxiv: 2506.23112 · arxiv_version: 2506.23112v1 · doi: 10.48550/arxiv.2506.23112 · pith_short_12: NJKB573PNWVE · pith_short_16: NJKB573PNWVEZMGL · pith_short_8: NJKB573P

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/NJKB573PNWVEZMGLX3554FOATF \
  | 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: 6a541eff6f6daa4cb0cbbefbde15c09945ff63e21460d7e84ae5425438c1add8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32b7d0098eaccbab5c649acfc09a4d0d15891ec134c6ea829477784ec20881cf",
    "cross_cats_sorted": [
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2025-06-29T06:31:42Z",
    "title_canon_sha256": "9f0246ad2fe55291c79442b17e983be2fa45ab6e75ffdd0eb109d46573b18c83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.23112",
    "kind": "arxiv",
    "version": 1
  }
}