Pith Number

pith:B6XPBASD

pith:2004:B6XPBASDZBNEB74QMUFLQFU7Q3

not attested not anchored not stored refs pending

The Z-graded symplectic Floer cohomology of monotone Lagrangian sub-manifolds

Weiping Li

arxiv:math/0409332 v1 · 2004-09-19 · math.GT · 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{B6XPBASDZBNEB74QMUFLQFU7Q3}

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	2026-05-18T02:41:32.309000Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0faef08243c85a40ff90650ab8169f86cf744aa55807a920e054673267743819

Aliases

arxiv: math/0409332 · arxiv_version: math/0409332v1 · doi: 10.48550/arxiv.math/0409332 · pith_short_12: B6XPBASDZBNE · pith_short_16: B6XPBASDZBNEB74Q · pith_short_8: B6XPBASD

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/B6XPBASDZBNEB74QMUFLQFU7Q3 \
  | 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: 0faef08243c85a40ff90650ab8169f86cf744aa55807a920e054673267743819

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9f0e8a98904504a935bd25ef2b7f32b833245afa48ee3028cffdae3f28a57df7",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2004-09-19T17:05:06Z",
    "title_canon_sha256": "b6e8db3414d4cea0f309cd6fcec9d0d3cc9b2ec3fbf8b631b979a9ede5c5b6a6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409332",
    "kind": "arxiv",
    "version": 1
  }
}