Pith Number

pith:K3TMDKQL

pith:2013:K3TMDKQLLEAZ4LPTOBN7UU3DEZ

not attested not anchored not stored refs pending

Connectivity and other invariants of generalized products of graphs

F. A. Muntaner-Batle, S. C. L\'opez

arxiv:1305.2729 v1 · 2013-05-13 · 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{K3TMDKQLLEAZ4LPTOBN7UU3DEZ}

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	2026-05-18T03:25:57.022461Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56e6c1aa0b59019e2df3705bfa53632670c53ce4fcb9e89ab8b32e8397940fa5

Aliases

arxiv: 1305.2729 · arxiv_version: 1305.2729v1 · doi: 10.48550/arxiv.1305.2729 · pith_short_12: K3TMDKQLLEAZ · pith_short_16: K3TMDKQLLEAZ4LPT · pith_short_8: K3TMDKQL

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/K3TMDKQLLEAZ4LPTOBN7UU3DEZ \
  | 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: 56e6c1aa0b59019e2df3705bfa53632670c53ce4fcb9e89ab8b32e8397940fa5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2fcb3d607c85fa32aab72ad6e8e8a9a74205cf812d8aa2c7f4e603ea3f493f5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-05-13T10:19:01Z",
    "title_canon_sha256": "b3e463aed9ce4b0c1f891baa38d0b2e4ec3c31754c74eb4cd6b8d5fcc47dda5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2729",
    "kind": "arxiv",
    "version": 1
  }
}