Pith Number

pith:KAZ3I7FI

pith:2017:KAZ3I7FIYMOSKD6F4WHCRW6SNH

not attested not anchored not stored refs pending

On the Rainbow Neighbourhood Number of Set-Graphs

Johan Kok, Sudev Naduvath

arxiv:1712.02324 v1 · 2017-12-06 · 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{KAZ3I7FIYMOSKD6F4WHCRW6SNH}

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	2026-05-18T00:28:38.485152Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5033b47ca8c31d250fc5e58e28dbd269d61a9ed5c8d76a5d762dc6b7b35f2ecc

Aliases

arxiv: 1712.02324 · arxiv_version: 1712.02324v1 · doi: 10.48550/arxiv.1712.02324 · pith_short_12: KAZ3I7FIYMOS · pith_short_16: KAZ3I7FIYMOSKD6F · pith_short_8: KAZ3I7FI

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/KAZ3I7FIYMOSKD6F4WHCRW6SNH \
  | 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: 5033b47ca8c31d250fc5e58e28dbd269d61a9ed5c8d76a5d762dc6b7b35f2ecc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e495df9e035eb7097367ed38e33e38e49d3767bea9309733ad7509a52d0586a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2017-12-06T18:47:07Z",
    "title_canon_sha256": "18e09daee5bd45400486623b0fa1e9699a2b6a428776d86c18fc19bda64021ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02324",
    "kind": "arxiv",
    "version": 1
  }
}