Pith Number

pith:3BVOWJVK

pith:2013:3BVOWJVK4QRYBZ5NHQ3NHTA6LJ

not attested not anchored not stored refs pending

Entropy of Symmetric Graphs

Chris Godsil, Seyed Saeed Changiz Rezaei

arxiv:1311.6561 v1 · 2013-11-26 · 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{3BVOWJVK4QRYBZ5NHQ3NHTA6LJ}

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	2026-05-18T03:06:12.356288Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d86aeb26aae42380e7ad3c36d3cc1e5a74f9ce7dd6e7a2eb51cf194b398a8b38

Aliases

arxiv: 1311.6561 · arxiv_version: 1311.6561v1 · doi: 10.48550/arxiv.1311.6561 · pith_short_12: 3BVOWJVK4QRY · pith_short_16: 3BVOWJVK4QRYBZ5N · pith_short_8: 3BVOWJVK

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/3BVOWJVK4QRYBZ5NHQ3NHTA6LJ \
  | 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: d86aeb26aae42380e7ad3c36d3cc1e5a74f9ce7dd6e7a2eb51cf194b398a8b38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26e7e99dbe2ad24888ecc92442f50de047a3a4a78ee9ce8fc308c1b7a4cc79d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-26T05:40:14Z",
    "title_canon_sha256": "e66b769a45e9a205c3d59f467e9d9f7ee617f0cf807c465bf6c65a8217b4a363"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6561",
    "kind": "arxiv",
    "version": 1
  }
}