Pith Number

pith:YUQY5MGD

pith:2007:YUQY5MGDGZNB67AI6GRPUQCQBB

not attested not anchored not stored refs pending

L^2-Betti numbers of plane algebraic curves

Constance Leidy, Laurentiu Maxim, Stefan Friedl

arxiv:0704.3388 v2 · 2007-04-25 · math.GT · 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{YUQY5MGDGZNB67AI6GRPUQCQBB}

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	2026-05-18T01:14:18.737699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5218eb0c3365a1f7c08f1a2fa40500867fe5ea35f57ae05ef6f853281a607b3

Aliases

arxiv: 0704.3388 · arxiv_version: 0704.3388v2 · doi: 10.48550/arxiv.0704.3388 · pith_short_12: YUQY5MGDGZNB · pith_short_16: YUQY5MGDGZNB67AI · pith_short_8: YUQY5MGD

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/YUQY5MGDGZNB67AI6GRPUQCQBB \
  | 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: c5218eb0c3365a1f7c08f1a2fa40500867fe5ea35f57ae05ef6f853281a607b3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8a923ad3fed321120cdf321e86c0935d890d3803ea2b9325e275b20d8590537",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2007-04-25T14:59:17Z",
    "title_canon_sha256": "9336e69a037487daf7893ce534edf575757a0904162f798399e24ce7a5e7defb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0704.3388",
    "kind": "arxiv",
    "version": 2
  }
}