Pith Number

pith:V3DGFEZC

pith:2007:V3DGFEZCZ6J6TRCBSVKZQBPQ5U

not attested not anchored not stored refs pending

Standard isotrivial fibrations with p_g=q=1

Francesco Polizzi

arxiv:math/0703066 v2 · 2007-03-02 · 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{V3DGFEZCZ6J6TRCBSVKZQBPQ5U}

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	2026-05-18T02:51:57.378481Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aec6629322cf93e9c44195559805f0ed0807fac8da3ae5a7af9ccfd9d01a9e9e

Aliases

arxiv: math/0703066 · arxiv_version: math/0703066v2 · doi: 10.48550/arxiv.math/0703066 · pith_short_12: V3DGFEZCZ6J6 · pith_short_16: V3DGFEZCZ6J6TRCB · pith_short_8: V3DGFEZC

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/V3DGFEZCZ6J6TRCBSVKZQBPQ5U \
  | 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: aec6629322cf93e9c44195559805f0ed0807fac8da3ae5a7af9ccfd9d01a9e9e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e0175687d677f10eea6a4871eacd2bea6dc85b903b254c01bc1222f8a454991",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2007-03-02T18:27:38Z",
    "title_canon_sha256": "6332885bb1a05c0ee492bc7141e47bfac39f52df470caaa214bd1638abfdb931"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0703066",
    "kind": "arxiv",
    "version": 2
  }
}