Pith Number

pith:4ZDFNFEA

pith:2026:4ZDFNFEAM2NJJEUQYVRTQXIBPF

not attested not anchored not stored refs pending

Open Colorings and Baumgartner's Axiom

Lorenzo Notaro

arxiv:2601.01166 v2 · 2026-01-03 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4ZDFNFEAM2NJJEUQYVRTQXIBPF}

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	2026-06-04T01:09:40.653652Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e646569480669a949290c563385d01795b45082e69f3b9745006298c7032abd4

Aliases

arxiv: 2601.01166 · arxiv_version: 2601.01166v2 · doi: 10.48550/arxiv.2601.01166 · pith_short_12: 4ZDFNFEAM2NJ · pith_short_16: 4ZDFNFEAM2NJJEUQ · pith_short_8: 4ZDFNFEA

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/4ZDFNFEAM2NJJEUQYVRTQXIBPF \
  | 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: e646569480669a949290c563385d01795b45082e69f3b9745006298c7032abd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ffdc0ddad76ef6b2745562556dee30330ba9c4f9ad66c5d424b5dd54bd289db",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-01-03T11:55:00Z",
    "title_canon_sha256": "5cd28dc2cae49c330da865522dac022e2c38376ae6cfca87154db8c3f65a17f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.01166",
    "kind": "arxiv",
    "version": 2
  }
}