Pith Number

pith:AR77KVFU

pith:2014:AR77KVFUJ7IQGGGI6EZZXC6O5Q

not attested not anchored not stored refs pending

Toroidal and projective commuting and non-commuting graphs

Kazem Khashyarmanesh, Mohammad Farrokhi Derakhshandeh Ghouchan, Mojgan Afkhami

arxiv:1402.4978 v1 · 2014-02-20 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AR77KVFUJ7IQGGGI6EZZXC6O5Q}

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	2026-05-18T02:58:31.470680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

047ff554b44fd10318c8f1339b8bceec3989713c45599caaab8ce1a24486d8e8

Aliases

arxiv: 1402.4978 · arxiv_version: 1402.4978v1 · doi: 10.48550/arxiv.1402.4978 · pith_short_12: AR77KVFUJ7IQ · pith_short_16: AR77KVFUJ7IQGGGI · pith_short_8: AR77KVFU

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/AR77KVFUJ7IQGGGI6EZZXC6O5Q \
  | 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: 047ff554b44fd10318c8f1339b8bceec3989713c45599caaab8ce1a24486d8e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6b77cca611cf0a5a1b353e1d500d76967c4c877e7a7133ab87e37c90fd78ebbb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-20T12:11:46Z",
    "title_canon_sha256": "cac8215fd9d6ca68ee65f8bf31b4bdeffe6a0e10dbfe0797b3f468b7b7b8895f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4978",
    "kind": "arxiv",
    "version": 1
  }
}