Pith Number

pith:35PLBM2J

pith:2022:35PLBM2JSCNBFP6R6JRLYM3MTJ

not attested not anchored not stored refs pending

An algebraic approach to Borel CSPs

Riley Thornton

arxiv:2203.16712 v1 · 2022-03-30 · 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{35PLBM2JSCNBFP6R6JRLYM3MTJ}

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

No Countable Basis for Borel Directed Graphs of Dichromatic Number at Least Three

Receipt and verification

First computed	2026-07-05T04:10:15.322121Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df5eb0b349909a12bfd1f262bc336c9a4109a67d6698f56fb37ef367cbb51492

Aliases

arxiv: 2203.16712 · arxiv_version: 2203.16712v1 · doi: 10.48550/arxiv.2203.16712 · pith_short_12: 35PLBM2JSCNB · pith_short_16: 35PLBM2JSCNBFP6R · pith_short_8: 35PLBM2J

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/35PLBM2JSCNBFP6R6JRLYM3MTJ \
  | 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: df5eb0b349909a12bfd1f262bc336c9a4109a67d6698f56fb37ef367cbb51492

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db4a8b4b259fc0079591807e3a25855ebd56f0ecae715368f002efd0257560e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-03-30T23:25:28Z",
    "title_canon_sha256": "05be8a13287eb5b7cc627ee96b837a5649793f448b4d23233868f0bff19d257f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2203.16712",
    "kind": "arxiv",
    "version": 1
  }
}