Pith Number

pith:3OOLZHKB

pith:2011:3OOLZHKBLAPPU4QX34A2YCER4V

not attested not anchored not stored refs pending

A Floer-Gysin exact sequence for Lagrangian submanifolds

Michael Khanevsky, Paul Biran

arxiv:1101.0946 v1 · 2011-01-05 · 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{3OOLZHKBLAPPU4QX34A2YCER4V}

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	2026-05-18T04:32:01.124540Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9cbc9d41581efa7217df01ac0891e55f563ddc0bd804de77e312ab8cf47315

Aliases

arxiv: 1101.0946 · arxiv_version: 1101.0946v1 · doi: 10.48550/arxiv.1101.0946 · pith_short_12: 3OOLZHKBLAPP · pith_short_16: 3OOLZHKBLAPPU4QX · pith_short_8: 3OOLZHKB

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/3OOLZHKBLAPPU4QX34A2YCER4V \
  | 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: db9cbc9d41581efa7217df01ac0891e55f563ddc0bd804de77e312ab8cf47315

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9062b27310e6dbee79e64457a10821e3b6011a327dbb4f4fcfdadc01394c31e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-01-05T12:19:40Z",
    "title_canon_sha256": "019e0eecee003a8b2a0989f3595b8bee0b499d2262c10c69f62c725f36fb1cf1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0946",
    "kind": "arxiv",
    "version": 1
  }
}