Pith Number

pith:TCW2QUHD

pith:2011:TCW2QUHD2TDFRDAKGSMJX5YGOW

not attested not anchored not stored refs pending

Intersection Theory on Abelian-Quotient $V$-Surfaces and $\mathbf{Q}$-Resolutions

Enrique Artal Bartolo, Jorge Mart\'in-Morales, Jorge Ortigas-Galindo

arxiv:1105.1321 v1 · 2011-05-06 · 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{TCW2QUHD2TDFRDAKGSMJX5YGOW}

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	2026-05-18T00:16:57.136002Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98ada850e3d4c6588c0a34989bf706759719a35b2bd6a1c3295cd0aae8db4f81

Aliases

arxiv: 1105.1321 · arxiv_version: 1105.1321v1 · doi: 10.48550/arxiv.1105.1321 · pith_short_12: TCW2QUHD2TDF · pith_short_16: TCW2QUHD2TDFRDAK · pith_short_8: TCW2QUHD

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/TCW2QUHD2TDFRDAKGSMJX5YGOW \
  | 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: 98ada850e3d4c6588c0a34989bf706759719a35b2bd6a1c3295cd0aae8db4f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53bb3cbd6a78d68acee3f61468bf9a631e4ca6f1e1a0349305aed36fb96eba6d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-05-06T16:29:02Z",
    "title_canon_sha256": "b9897fdc073a5502add4ddbbcfc0721742a24ffcf58b65215d810e593ed92361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.1321",
    "kind": "arxiv",
    "version": 1
  }
}