Pith Number

pith:2MRUZP4H

pith:2009:2MRUZP4HNCF2YGPJLPKPTKFOZY

not attested not anchored not stored refs pending

The classification of isotrivially fibred surfaces with p_g=q=2

Matteo Penegini

arxiv:0904.1352 v2 · 2009-04-08 · 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{2MRUZP4HNCF2YGPJLPKPTKFOZY}

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	2026-05-18T02:24:56.048804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3234cbf87688bac19e95bd4f9a8aece148b2accf49871ae7461143d2ad1e016

Aliases

arxiv: 0904.1352 · arxiv_version: 0904.1352v2 · doi: 10.48550/arxiv.0904.1352 · pith_short_12: 2MRUZP4HNCF2 · pith_short_16: 2MRUZP4HNCF2YGPJ · pith_short_8: 2MRUZP4H

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/2MRUZP4HNCF2YGPJLPKPTKFOZY \
  | 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: d3234cbf87688bac19e95bd4f9a8aece148b2accf49871ae7461143d2ad1e016

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4398524bc6b17642e18de9b0276e11fc2b067f70ffb2da1c18c385b0eccd5c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-04-08T15:46:03Z",
    "title_canon_sha256": "3f494ba5625bd51681d1593ab1eeeacf9c872693c8f612b651b0aa185faf4ad9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.1352",
    "kind": "arxiv",
    "version": 2
  }
}