Pith Number

pith:VK5KUGLD

pith:2004:VK5KUGLDWXQP4ZSX4WRL6LPPAL

not attested not anchored not stored refs pending

Trecce, Mapping class group, fibrazioni di Lefschetz ed applicazioni al diffeomorfismo di superficie algebriche

Fabrizio Catanese

arxiv:math/0405300 v2 · 2004-05-14 · math.AG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VK5KUGLDWXQP4ZSX4WRL6LPPAL}

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	2026-05-18T01:05:26.370638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aabaaa1963b5e0fe6657e5a2bf2def02d8fe7a4139a58fa954eb89d6365229ff

Aliases

arxiv: math/0405300 · arxiv_version: math/0405300v2 · doi: 10.48550/arxiv.math/0405300 · pith_short_12: VK5KUGLDWXQP · pith_short_16: VK5KUGLDWXQP4ZSX · pith_short_8: VK5KUGLD

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/VK5KUGLDWXQP4ZSX4WRL6LPPAL \
  | 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: aabaaa1963b5e0fe6657e5a2bf2def02d8fe7a4139a58fa954eb89d6365229ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "287039fe6554f2754a610cb8c598ebe77a1c150db0c4b6dd6a0a9f39e3cde767",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2004-05-14T17:15:07Z",
    "title_canon_sha256": "a0d99eb357d26f5ca094fc6e242d06f69d9f0bd87fbd3e92a882c2d8eb8f9829"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0405300",
    "kind": "arxiv",
    "version": 2
  }
}