Pith Number

pith:2GZREJ3T

pith:2012:2GZREJ3TZHSX6JO52HUQPFLUVN

not attested not anchored not stored refs pending

L^2-Betti numbers of hypersurface complements

Laurentiu Maxim

arxiv:1202.0844 v2 · 2012-02-03 · math.AT · 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{2GZREJ3TZHSX6JO52HUQPFLUVN}

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	2026-05-18T01:14:18.634437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1b3122773c9e57f25ddd1e9079574ab7a00c10d7f9dff2b439c3c60845a6c1a

Aliases

arxiv: 1202.0844 · arxiv_version: 1202.0844v2 · doi: 10.48550/arxiv.1202.0844 · pith_short_12: 2GZREJ3TZHSX · pith_short_16: 2GZREJ3TZHSX6JO5 · pith_short_8: 2GZREJ3T

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/2GZREJ3TZHSX6JO52HUQPFLUVN \
  | 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: d1b3122773c9e57f25ddd1e9079574ab7a00c10d7f9dff2b439c3c60845a6c1a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffb3e2755187b5fd0a6e20a7f7c76b3223de37a93570c962f463a6888dc2c123",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-02-03T23:44:43Z",
    "title_canon_sha256": "f9da9be0e1989325d87d072f343795a9b9d5960f1d797b77bfc837246cba02ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0844",
    "kind": "arxiv",
    "version": 2
  }
}