Pith Number

pith:P2WFXEVD

pith:2010:P2WFXEVD2WGYJGCN65BVOJBJHI

not attested not anchored not stored refs pending

Note on a relation between Randic index and algebraic connectivity

Xueliang Li, Yongtang Shi

arxiv:1012.4856 v1 · 2010-12-22 · 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{P2WFXEVD2WGYJGCN65BVOJBJHI}

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	2026-05-18T04:32:45.120244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eac5b92a3d58d84984df7435724293a3ae7829b0a5e498c86afd2176b1a5c2a

Aliases

arxiv: 1012.4856 · arxiv_version: 1012.4856v1 · doi: 10.48550/arxiv.1012.4856 · pith_short_12: P2WFXEVD2WGY · pith_short_16: P2WFXEVD2WGYJGCN · pith_short_8: P2WFXEVD

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/P2WFXEVD2WGYJGCN65BVOJBJHI \
  | 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: 7eac5b92a3d58d84984df7435724293a3ae7829b0a5e498c86afd2176b1a5c2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "564e998e93106caa53c87bf2374c589b32fa421ce294a3373c214bbb64219f27",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-12-22T01:48:52Z",
    "title_canon_sha256": "2ab520e39ea0e6bc02a066a59a640ae151e01de24dfc06afa2ad5be27571570e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.4856",
    "kind": "arxiv",
    "version": 1
  }
}