Pith Number

pith:4MXO7TYW

pith:2011:4MXO7TYWPNRY46A7GPVB7UQ2BS

not attested not anchored not stored refs pending

Classification of Hamiltonian torus actions with two dimensional quotients

Susan Tolman, Yael Karshon

arxiv:1109.6873 v2 · 2011-09-30 · math.SG · 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{4MXO7TYWPNRY46A7GPVB7UQ2BS}

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	2026-05-18T02:38:18.023372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e32eefcf167b638e781f33ea1fd21a0c85a8c54aa01562e8e98a1ac9b89abb63

Aliases

arxiv: 1109.6873 · arxiv_version: 1109.6873v2 · doi: 10.48550/arxiv.1109.6873 · pith_short_12: 4MXO7TYWPNRY · pith_short_16: 4MXO7TYWPNRY46A7 · pith_short_8: 4MXO7TYW

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/4MXO7TYWPNRY46A7GPVB7UQ2BS \
  | 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: e32eefcf167b638e781f33ea1fd21a0c85a8c54aa01562e8e98a1ac9b89abb63

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dedf18d793d9fe6f46bde9e5d0dd7369a57af80445dca3ed192972823422c2e8",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-09-30T16:11:36Z",
    "title_canon_sha256": "fd0ae453afaf78ae7846649e2bae4e56698a0cbc09432ee5762a6b4b1e1348c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.6873",
    "kind": "arxiv",
    "version": 2
  }
}