Pith Number

pith:GNKLU452

pith:2014:GNKLU452C2XN5HY7VCQMK4RIDS

not attested not anchored not stored refs pending

A Study on Sprout Graphs

Johan Kok, Naduvath Sudev

arxiv:1403.8109 v2 · 2014-03-27 · 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{GNKLU452C2XN5HY7VCQMK4RIDS}

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	2026-05-18T01:32:50.834034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3354ba73ba16aede9f1fa8a0c572281c9f9807ba0d4a1228af326526e8532663

Aliases

arxiv: 1403.8109 · arxiv_version: 1403.8109v2 · doi: 10.48550/arxiv.1403.8109 · pith_short_12: GNKLU452C2XN · pith_short_16: GNKLU452C2XN5HY7 · pith_short_8: GNKLU452

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/GNKLU452C2XN5HY7VCQMK4RIDS \
  | 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: 3354ba73ba16aede9f1fa8a0c572281c9f9807ba0d4a1228af326526e8532663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f78aab9f1d4228a81d3c58cbb2b675be5af673364605db40ec4ac88308e1d1ad",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-27T07:48:59Z",
    "title_canon_sha256": "85df6f0bdc36611304cebca9c61baaba9e6fbfa0af8a17f8916f1ce06dd0f5af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.8109",
    "kind": "arxiv",
    "version": 2
  }
}