Pith Number

pith:ZIJYD63C

pith:2011:ZIJYD63CMSFFHZL5ILGVIEEOVP

not attested not anchored not stored refs pending

Hamiltonian actions on symplectic varieties with invariant Lagrangian subvarieties

Dmitry A. Timashev, Vladimir S. Zhgoon

arxiv:1109.5239 v1 · 2011-09-24 · 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{ZIJYD63CMSFFHZL5ILGVIEEOVP}

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	2026-05-18T04:12:20.291488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca1381fb62648a53e57d42cd54108eabd307db9214cf8576a24315d7356e9cbd

Aliases

arxiv: 1109.5239 · arxiv_version: 1109.5239v1 · doi: 10.48550/arxiv.1109.5239 · pith_short_12: ZIJYD63CMSFF · pith_short_16: ZIJYD63CMSFFHZL5 · pith_short_8: ZIJYD63C

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/ZIJYD63CMSFFHZL5ILGVIEEOVP \
  | 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: ca1381fb62648a53e57d42cd54108eabd307db9214cf8576a24315d7356e9cbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1def02cd9c3656f115ff245e3fcd3c2bf6d01d2238ebc5a6ca2c47cebae66bc",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-09-24T07:19:11Z",
    "title_canon_sha256": "05cc7d88277dfed904b4fcb08c1004ec8524cd0061d32adc11dba3e7ebdf6d07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.5239",
    "kind": "arxiv",
    "version": 1
  }
}