Pith Number

pith:GBO5J2HG

pith:2009:GBO5J2HGROQ37DRUHUF6MY7R6K

not attested not anchored not stored refs pending

Automorphisms of the Torelli complex and the complex of separating curves

Yoshikata Kida

arxiv:0909.4718 v3 · 2009-09-25 · math.GR · 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{GBO5J2HGROQ37DRUHUF6MY7R6K}

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	2026-05-18T02:28:21.448015Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

305dd4e8e68ba1bf8e343d0be663f1f28a2bc94664936b530b8fe0a1a10ec89c

Aliases

arxiv: 0909.4718 · arxiv_version: 0909.4718v3 · doi: 10.48550/arxiv.0909.4718 · pith_short_12: GBO5J2HGROQ3 · pith_short_16: GBO5J2HGROQ37DRU · pith_short_8: GBO5J2HG

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/GBO5J2HGROQ37DRUHUF6MY7R6K \
  | 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: 305dd4e8e68ba1bf8e343d0be663f1f28a2bc94664936b530b8fe0a1a10ec89c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ae494f7a04b1fcda6ebdae6c9c50a46c921a370a55b3093fc45601473c8605e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2009-09-25T15:13:16Z",
    "title_canon_sha256": "1e0da0039ca90e9bb6c1a1884d74ca88a97e5e38df07c1e9c767b0edd6c61ec5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.4718",
    "kind": "arxiv",
    "version": 3
  }
}