Pith Number

pith:572W5WDA

pith:2015:572W5WDAGTO5HERRUADZDLQNR6

not attested not anchored not stored refs pending

Curling Numbers of Certain Graph Powers

Johan Kok, K. P. Chithra, N. K. Sudev, Sunny Joseph Kalayathankal, Susanth C.

arxiv:1509.00220 v2 · 2015-09-01 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{572W5WDAGTO5HERRUADZDLQNR6}

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	2026-05-18T01:26:41.784488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eff56ed86034ddd39231a00791ae0d8fbae3a4d24bcf81489db4fc9e2072d122

Aliases

arxiv: 1509.00220 · arxiv_version: 1509.00220v2 · doi: 10.48550/arxiv.1509.00220 · pith_short_12: 572W5WDAGTO5 · pith_short_16: 572W5WDAGTO5HERR · pith_short_8: 572W5WDA

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/572W5WDAGTO5HERRUADZDLQNR6 \
  | 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: eff56ed86034ddd39231a00791ae0d8fbae3a4d24bcf81489db4fc9e2072d122

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "49d462ffc16c25021f796b2d84f6362cc49d4b84603afb34c67133c217cfbfa8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-09-01T10:52:56Z",
    "title_canon_sha256": "2647c36d4ee8d19c56f541fba4d2452aa88f7ec7c7d037b5813ba9eb733b8564"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00220",
    "kind": "arxiv",
    "version": 2
  }
}