Pith Number

pith:UARPQOPE

pith:2007:UARPQOPENJPEYXRGBJ5NX6VHQY

not attested not anchored not stored refs pending

Quantum Structures for Lagrangian Submanifolds

Octav Cornea, Paul Biran

arxiv:0708.4221 v1 · 2007-08-30 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UARPQOPENJPEYXRGBJ5NX6VHQY}

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.

Cited by

1 paper in Pith

Rabinowitz Floer homology for Legendrian submanifolds in prequantization bundles

Receipt and verification

First computed	2026-07-04T15:03:56.079768Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a022f839e46a5e4c5e260a7adbfaa78638523aba3533216801bd62ac711847c8

Aliases

arxiv: 0708.4221 · arxiv_version: 0708.4221v1 · doi: 10.48550/arxiv.0708.4221 · pith_short_12: UARPQOPENJPE · pith_short_16: UARPQOPENJPEYXRG · pith_short_8: UARPQOPE

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/UARPQOPENJPEYXRGBJ5NX6VHQY \
  | 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: a022f839e46a5e4c5e260a7adbfaa78638523aba3533216801bd62ac711847c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c1eae54ed4d3f4d0efb53e24c955f0b0d4f5178971884b2b873a633905ca244",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2007-08-30T19:42:14Z",
    "title_canon_sha256": "938505646bdc3f249eaa2d197679d2d6a58168f5a6e0bd4b1f8232cf0fe0015c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.4221",
    "kind": "arxiv",
    "version": 1
  }
}