Pith Number

pith:IIG2K7YV

pith:2007:IIG2K7YVGBCC6I5J3CBWNPFIJ6

not attested not anchored not stored refs pending

Novikov-symplectic cohomology and exact Lagrangian embeddings

Alexander F. Ritter

arxiv:0711.1396 v2 · 2007-11-09 · math.SG · 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{IIG2K7YVGBCC6I5J3CBWNPFIJ6}

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	2026-05-18T02:38:19.314568Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

420da57f1530442f23a9d88366bca84fb690f092c0d93717692b3ddf431e94ca

Aliases

arxiv: 0711.1396 · arxiv_version: 0711.1396v2 · doi: 10.48550/arxiv.0711.1396 · pith_short_12: IIG2K7YVGBCC · pith_short_16: IIG2K7YVGBCC6I5J · pith_short_8: IIG2K7YV

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/IIG2K7YVGBCC6I5J3CBWNPFIJ6 \
  | 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: 420da57f1530442f23a9d88366bca84fb690f092c0d93717692b3ddf431e94ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71ed839f8454781fe80786287c1fb05bc49f0718c0ecf174e87aad3611b57432",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2007-11-09T01:38:04Z",
    "title_canon_sha256": "44e47fa36b6733885269758e1bf1228c7a049daf1a1cbcabdd23bdd20942957c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0711.1396",
    "kind": "arxiv",
    "version": 2
  }
}