Pith Number

pith:23WX3WVR

pith:2021:23WX3WVRBHNUBV2W5HKL5DNLGF

not attested not anchored not stored refs pending

Cohomology classes of complex approximable algebras

Catriona Maclean

arxiv:2103.07120 v3 · 2021-03-12 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{23WX3WVRBHNUBV2W5HKL5DNLGF}

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	2026-05-20T14:03:15.435970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d6ed7ddab109db40d756e9d4be8dab317f3e9ad308cd6aa350aa57a818d37693

Aliases

arxiv: 2103.07120 · arxiv_version: 2103.07120v3 · doi: 10.48550/arxiv.2103.07120 · pith_short_12: 23WX3WVRBHNU · pith_short_16: 23WX3WVRBHNUBV2W · pith_short_8: 23WX3WVR

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/23WX3WVRBHNUBV2W5HKL5DNLGF \
  | 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: d6ed7ddab109db40d756e9d4be8dab317f3e9ad308cd6aa350aa57a818d37693

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28177e19f718ba6bd8103c1a1bf44a00a3aceaa405ca412eb567392c2f4bb4d1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-sa/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-03-12T07:39:56Z",
    "title_canon_sha256": "e98eed801d5d875879feb1c15f53025e6ae4d856066c3901bc53f8d26b6a20dc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.07120",
    "kind": "arxiv",
    "version": 3
  }
}