Pith Number

pith:D2TEC4D7

pith:2015:D2TEC4D7YJGIDFINDZVOIAM27Z

not attested not anchored not stored refs pending

A study on the curling number of graph classes

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

arxiv:1512.01096 v2 · 2015-12-03 · 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{D2TEC4D7YJGIDFINDZVOIAM27Z}

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	2026-05-18T01:12:12.774945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1ea641707fc24c81950d1e6ae4019afe5eaf59143ab914b6cdc3eccd65416fbb

Aliases

arxiv: 1512.01096 · arxiv_version: 1512.01096v2 · doi: 10.48550/arxiv.1512.01096 · pith_short_12: D2TEC4D7YJGI · pith_short_16: D2TEC4D7YJGIDFIN · pith_short_8: D2TEC4D7

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/D2TEC4D7YJGIDFINDZVOIAM27Z \
  | 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: 1ea641707fc24c81950d1e6ae4019afe5eaf59143ab914b6cdc3eccd65416fbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8303c0062ff08f9e0b6c26ad8dd3aec05e80f730f0afd34163dd8c3f449e0f91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2015-12-03T14:43:27Z",
    "title_canon_sha256": "8694a1a830e8f2a69eff144d49552de41115d651a7cf036b53713d51a85f2640"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01096",
    "kind": "arxiv",
    "version": 2
  }
}