Pith Number

pith:FWOZ7C3Z

pith:2010:FWOZ7C3ZVTQMDWGHCCRQDB43PS

not attested not anchored not stored refs pending

Arithmetic group symmetry and finiteness properties of Torelli groups

Alexandru Dimca, Stefan Papadima

arxiv:1002.0673 v4 · 2010-02-03 · math.GR · 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{FWOZ7C3ZVTQMDWGHCCRQDB43PS}

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	2026-05-18T00:50:12.710485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d9d9f8b79ace0c1d8c710a301879b7c9ad7682f571fa1b1790855495df414cb

Aliases

arxiv: 1002.0673 · arxiv_version: 1002.0673v4 · doi: 10.48550/arxiv.1002.0673 · pith_short_12: FWOZ7C3ZVTQM · pith_short_16: FWOZ7C3ZVTQMDWGH · pith_short_8: FWOZ7C3Z

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/FWOZ7C3ZVTQMDWGHCCRQDB43PS \
  | 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: 2d9d9f8b79ace0c1d8c710a301879b7c9ad7682f571fa1b1790855495df414cb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ac8559eb396f9c3d0ee42af6af7b25e7d24e248ed57827bf09d1d9c6e90dc7",
    "cross_cats_sorted": [
      "math.AG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-02-03T09:21:36Z",
    "title_canon_sha256": "28c32b3d5e8720d3351a2f44a75ec2a5b4177ce22ee78628ecea82be266c183d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.0673",
    "kind": "arxiv",
    "version": 4
  }
}