Pith Number

pith:UMPFJ3TS

pith:2024:UMPFJ3TSO6DZPHAM2UNGUF5VDZ

not attested not anchored not stored refs pending

Fast Deterministic Chromatic Number under the Asymptotic Rank Conjecture

Andreas Bj\"orklund, Kevin Pratt, Petteri Kaski, Radu Curticapean, Thore Husfeldt

arxiv:2404.04987 v2 · 2024-04-07 · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UMPFJ3TSO6DZPHAM2UNGUF5VDZ}

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.

Cited by

1 paper in Pith

Faster Edge Coloring by Partition Sieving

Receipt and verification

First computed	2026-07-05T09:45:09.392740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a31e54ee727787979c0cd51a6a17b51e6a9816ead60dc24adcdf72042e932d04

Aliases

arxiv: 2404.04987 · arxiv_version: 2404.04987v2 · doi: 10.48550/arxiv.2404.04987 · pith_short_12: UMPFJ3TSO6DZ · pith_short_16: UMPFJ3TSO6DZPHAM · pith_short_8: UMPFJ3TS

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/UMPFJ3TSO6DZPHAM2UNGUF5VDZ \
  | 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: a31e54ee727787979c0cd51a6a17b51e6a9816ead60dc24adcdf72042e932d04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6c68af28f2c273e8b8f6ef4aeda60ce133d3d3a6ab95b54dacec07766883488",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.DS",
    "submitted_at": "2024-04-07T15:10:25Z",
    "title_canon_sha256": "95e61993654aae1c9744d16cdeb19b85e76d3000e4fe7abd6bce98881387fb01"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04987",
    "kind": "arxiv",
    "version": 2
  }
}