Pith Number

pith:2537TCQ7

pith:2012:2537TCQ7Z3RHTMWJHD25ESR5IE

not attested not anchored not stored refs pending

The Connectivity and the Harary Index of a Graph

Xiao-Xin Li, Yi-Zheng Fan

arxiv:1207.2393 v2 · 2012-07-10 · 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{2537TCQ7Z3RHTMWJHD25ESR5IE}

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	2026-05-18T02:42:37.576286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d777f98a1fcee279b2c938f5d24a3d4105b1f8da6ed29199d6c1c6cea6c455bb

Aliases

arxiv: 1207.2393 · arxiv_version: 1207.2393v2 · doi: 10.48550/arxiv.1207.2393 · pith_short_12: 2537TCQ7Z3RH · pith_short_16: 2537TCQ7Z3RHTMWJ · pith_short_8: 2537TCQ7

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/2537TCQ7Z3RHTMWJHD25ESR5IE \
  | 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: d777f98a1fcee279b2c938f5d24a3d4105b1f8da6ed29199d6c1c6cea6c455bb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb18fdc18a224ce92e08a547f3fd5bf7c589d0ed26e3918428a292090e354c26",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-07-10T15:52:42Z",
    "title_canon_sha256": "b7d3844c2c0b3f51ecc1b3bcea7a3d979e1a9aea58769007dd7b230e355f776b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2393",
    "kind": "arxiv",
    "version": 2
  }
}