pith. sign in
Pith Number

pith:724RK5WD

pith:2013:724RK5WDWD5BGD3WLLQE2AZVSW
not attested not anchored not stored refs pending

Entropy and Graphs

Seyed Saeed Changiz Rezaei

arxiv:1311.5632 v1 · 2013-11-22 · math.CO

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{724RK5WDWD5BGD3WLLQE2AZVSW}

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 2026-05-18T03:06:23.682886Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

feb91576c3b0fa130f765ae04d03359581542abb59353d9a34852f054d594bb5

Aliases

arxiv: 1311.5632 · arxiv_version: 1311.5632v1 · doi: 10.48550/arxiv.1311.5632 · pith_short_12: 724RK5WDWD5B · pith_short_16: 724RK5WDWD5BGD3W · pith_short_8: 724RK5WD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/724RK5WDWD5BGD3WLLQE2AZVSW \
  | 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: feb91576c3b0fa130f765ae04d03359581542abb59353d9a34852f054d594bb5
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ebf6b6b973f94b33f0ab3fa4a36199fd5eb6390ea6493ac772f18861271cb2bb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-22T01:17:42Z",
    "title_canon_sha256": "c3cae28c99eca06ba6b9522d6a40a7db08af7cd547541673e81023782039054f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5632",
    "kind": "arxiv",
    "version": 1
  }
}