Pith Number

pith:HZORBK4B

pith:2024:HZORBK4BWBMNUHK7SEOIL2ZOUZ

not attested not anchored not stored refs pending

Local Shearer bound

Anders Martinsson, Raphael Steiner

arxiv:2501.00567 v1 · 2024-12-31 · 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{HZORBK4BWBMNUHK7SEOIL2ZOUZ}

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

Triangle-free $d$-degenerate graphs have small fractional chromatic number

Receipt and verification

First computed	2026-07-05T09:56:07.609665Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e5d10ab81b058da1d5f911c85eb2ea67d79394908e91ffa3bd04a5312eedcb8

Aliases

arxiv: 2501.00567 · arxiv_version: 2501.00567v1 · doi: 10.48550/arxiv.2501.00567 · pith_short_12: HZORBK4BWBMN · pith_short_16: HZORBK4BWBMNUHK7 · pith_short_8: HZORBK4B

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/HZORBK4BWBMNUHK7SEOIL2ZOUZ \
  | 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: 3e5d10ab81b058da1d5f911c85eb2ea67d79394908e91ffa3bd04a5312eedcb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "840ea57d8577c5b27b9819f0123ed3b046660cfe074e69041ec4f99d7406254e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-12-31T17:53:17Z",
    "title_canon_sha256": "a92f3a165add58fcacc1cbf81ee821c979003b3510bf9e6ca9b350fb8ede571e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.00567",
    "kind": "arxiv",
    "version": 1
  }
}