Pith Number

pith:F2DMTAR3

pith:2012:F2DMTAR3CB55WS7WVCBIK2Y2BB

not attested not anchored not stored refs pending

Completely integrable torus actions on complex manifolds with fixed points

Hiroaki Ishida, Yael Karshon

arxiv:1203.0789 v3 · 2012-03-05 · math.CV · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F2DMTAR3CB55WS7WVCBIK2Y2BB}

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	2026-05-18T03:38:23.669653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2e86c9823b107bdb4bf6a882856b1a0876eba88988d0e709669a25b51642104b

Aliases

arxiv: 1203.0789 · arxiv_version: 1203.0789v3 · doi: 10.48550/arxiv.1203.0789 · pith_short_12: F2DMTAR3CB55 · pith_short_16: F2DMTAR3CB55WS7W · pith_short_8: F2DMTAR3

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/F2DMTAR3CB55WS7WVCBIK2Y2BB \
  | 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: 2e86c9823b107bdb4bf6a882856b1a0876eba88988d0e709669a25b51642104b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dffe02bf93f2e6504e839d885171d0119f4ea1c67724956db554612bc030a6f",
    "cross_cats_sorted": [
      "math.DG",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-05T00:11:55Z",
    "title_canon_sha256": "1b23383814f45a4628e95c3c4a62c834986a81c308fadb7d4d05fb742e304087"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0789",
    "kind": "arxiv",
    "version": 3
  }
}