Pith Number

pith:3PVQSLND

pith:2017:3PVQSLND7NUYY2D6ARCOQWBNB7

not attested not anchored not stored refs pending

Chromatic numbers for the hyperbolic plane and discrete analogs

Camille Petit, Hugo Parlier

arxiv:1701.08648 v1 · 2017-01-30 · math.CO · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PVQSLND7NUYY2D6ARCOQWBNB7}

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	2026-05-18T00:51:53.401852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbeb092da3fb698c687e0444e8582d0ff20fa4beaa1b5e84000442b4ec2d4a38

Aliases

arxiv: 1701.08648 · arxiv_version: 1701.08648v1 · doi: 10.48550/arxiv.1701.08648 · pith_short_12: 3PVQSLND7NUY · pith_short_16: 3PVQSLND7NUYY2D6 · pith_short_8: 3PVQSLND

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/3PVQSLND7NUYY2D6ARCOQWBNB7 \
  | 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: dbeb092da3fb698c687e0444e8582d0ff20fa4beaa1b5e84000442b4ec2d4a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee7a7450ab905a6b4a8e29fc809da9e77145e4b4bfc197990a816a25072c51e6",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-01-30T15:21:29Z",
    "title_canon_sha256": "2b59e0da7aca2e10c417d5111d81f1bfd221b52ac1b5040852f4932bcd9aaeb3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.08648",
    "kind": "arxiv",
    "version": 1
  }
}