Pith Number

pith:3ZYS6ZGD

pith:2025:3ZYS6ZGDNNSPGGZMGUTUXGLQCB

not attested not anchored not stored refs pending

The chromatic number of finite projective spaces

Ananthakrishnan Ravi, Anurag Bishnoi, Wouter Cames van Batenburg

arxiv:2512.01760 v3 · 2025-12-01 · 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{3ZYS6ZGDNNSPGGZMGUTUXGLQCB}

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	2026-05-26T02:04:00.433351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de712f64c36b64f31b2c35274b997010711c64d0af092ab9eec9da2b7b5e987d

Aliases

arxiv: 2512.01760 · arxiv_version: 2512.01760v3 · doi: 10.48550/arxiv.2512.01760 · pith_short_12: 3ZYS6ZGDNNSP · pith_short_16: 3ZYS6ZGDNNSPGGZM · pith_short_8: 3ZYS6ZGD

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/3ZYS6ZGDNNSPGGZMGUTUXGLQCB \
  | 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: de712f64c36b64f31b2c35274b997010711c64d0af092ab9eec9da2b7b5e987d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "122f85f8ff69eb71e31b38dd6c05b5bbaad7b545bf5fd6492520aa2f3a11806b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-12-01T15:05:26Z",
    "title_canon_sha256": "9c1bf1d2a59db560ef14ff2105f3728814c8f36d4a121c029b5bdf31b7f82914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.01760",
    "kind": "arxiv",
    "version": 3
  }
}