Pith Number

pith:657RLFSB

pith:2019:657RLFSB4GOJWYVNPVRYVU5YOS

not attested not anchored not stored refs pending

The Cohomology of the Ordinals I: Basic Theory and Consistency Results

Chris Lambie-Hanson, Jeffrey Bergfalk

arxiv:1902.02736 v2 · 2019-02-07 · math.LO · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{657RLFSB4GOJWYVNPVRYVU5YOS}

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	2026-05-17T23:48:30.593954Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f77f159641e19c9b62ad7d638ad3b874b14a7aeb2ca2ab0d70430b5b04f7d935

Aliases

arxiv: 1902.02736 · arxiv_version: 1902.02736v2 · doi: 10.48550/arxiv.1902.02736 · pith_short_12: 657RLFSB4GOJ · pith_short_16: 657RLFSB4GOJWYVN · pith_short_8: 657RLFSB

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/657RLFSB4GOJWYVNPVRYVU5YOS \
  | 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: f77f159641e19c9b62ad7d638ad3b874b14a7aeb2ca2ab0d70430b5b04f7d935

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9dc225aed32058ba1f52130164ed5f11e96a29f444e5bbea8f3e79bd5485c40",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-02-07T17:23:18Z",
    "title_canon_sha256": "894e7f7dbde94a08f65b6a9c1583b59e65a30e4977a6a04cb03c6653d59e8968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02736",
    "kind": "arxiv",
    "version": 2
  }
}