Pith Number

pith:XSUV3BQC

pith:2018:XSUV3BQCRX5YU2A5AL2YN3CM7G

not attested not anchored not stored refs pending

On the circular chromatic number of a subgraph of the Kneser graph

Bart Litjens, Bart Sevenster, Llu\'is Vena, Sven Polak

arxiv:1803.04342 v2 · 2018-03-12 · 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{XSUV3BQCRX5YU2A5AL2YN3CM7G}

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	2026-05-18T00:06:11.802197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bca95d86028dfb8a681d02f586ec4cf98c2d1239d46aedeb78106ef5ca7f44ca

Aliases

arxiv: 1803.04342 · arxiv_version: 1803.04342v2 · doi: 10.48550/arxiv.1803.04342 · pith_short_12: XSUV3BQCRX5Y · pith_short_16: XSUV3BQCRX5YU2A5 · pith_short_8: XSUV3BQC

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/XSUV3BQCRX5YU2A5AL2YN3CM7G \
  | 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: bca95d86028dfb8a681d02f586ec4cf98c2d1239d46aedeb78106ef5ca7f44ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2aa7bbd4546e63d382dac7153289d3a3b9c3b9e3f12472f70af812793f530d75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-03-12T16:07:44Z",
    "title_canon_sha256": "7343d8d0ea95a9fa94afdc3fac004487aad865b851f82774b802113efe9baed4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04342",
    "kind": "arxiv",
    "version": 2
  }
}