Pith Number

pith:OLRJTME4

pith:2008:OLRJTME4M27C555U4WJJEFZSYL

not attested not anchored not stored refs pending

Standard isotrivial fibrations with p_g=q=1. II

Ernesto Mistretta, Francesco Polizzi

arxiv:0805.1424 v2 · 2008-05-09 · math.AG · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OLRJTME4M27C555U4WJJEFZSYL}

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	2026-05-18T02:51:48.867904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72e299b09c66be2ef7b4e592921732c2eb9cc2361bfb65d9274310ec4d8060ac

Aliases

arxiv: 0805.1424 · arxiv_version: 0805.1424v2 · doi: 10.48550/arxiv.0805.1424 · pith_short_12: OLRJTME4M27C · pith_short_16: OLRJTME4M27C555U · pith_short_8: OLRJTME4

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/OLRJTME4M27C555U4WJJEFZSYL \
  | 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: 72e299b09c66be2ef7b4e592921732c2eb9cc2361bfb65d9274310ec4d8060ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cfb1fb79f465755aaf3f5f0d25856e3f9c2289e7e065bb0cafd6a64d92aa36d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-05-09T21:15:38Z",
    "title_canon_sha256": "b2b4bdc7d6a2a87b8dde944fa7b8849054159a4d3532d4d0d073e8f3d2e5a23e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.1424",
    "kind": "arxiv",
    "version": 2
  }
}