Pith Number

pith:XUI4KB7K

pith:2015:XUI4KB7KSPL26OL455SDOPWNB2

not attested not anchored not stored refs pending

The colouring number of infinite graphs

Christian Reiher, Johannes Carmesin, Nathan Bowler, P\'eter Komj\'ath

arxiv:1512.02911 v2 · 2015-12-09 · 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{XUI4KB7KSPL26OL455SDOPWNB2}

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	2026-05-18T00:11:32.779828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd11c507ea93d7af397cef64373ecd0e83c7a492783596d30d17d0f091a74a90

Aliases

arxiv: 1512.02911 · arxiv_version: 1512.02911v2 · doi: 10.48550/arxiv.1512.02911 · pith_short_12: XUI4KB7KSPL2 · pith_short_16: XUI4KB7KSPL26OL4 · pith_short_8: XUI4KB7K

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/XUI4KB7KSPL26OL455SDOPWNB2 \
  | 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: bd11c507ea93d7af397cef64373ecd0e83c7a492783596d30d17d0f091a74a90

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "304d25e68d2b2fa1a0ac6176b221e3ee0ae6ceb1809cf61f926dfb6332026978",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-12-09T15:52:27Z",
    "title_canon_sha256": "ce92b10a1991e582a19279d0955284941999deba61bdf247eb2d00f131499129"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02911",
    "kind": "arxiv",
    "version": 2
  }
}