Pith Number

pith:77ASQ42A

pith:2011:77ASQ42ATHPT7KHKH7RDQX7JMF

not attested not anchored not stored refs pending

Spectral invariants with bulk, quasimorphisms and Lagrangian Floer theory

Hiroshi Ohta, Kaoru Ono, Kenji Fukaya, Yong-Geun Oh

arxiv:1105.5123 v3 · 2011-05-25 · 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{77ASQ42ATHPT7KHKH7RDQX7JMF}

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	2026-05-18T00:52:44.652424Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ffc128734099df3fa8ea3fe2385fe961534697445ce91298e34ae2d9988b1fa2

Aliases

arxiv: 1105.5123 · arxiv_version: 1105.5123v3 · doi: 10.48550/arxiv.1105.5123 · pith_short_12: 77ASQ42ATHPT · pith_short_16: 77ASQ42ATHPT7KHK · pith_short_8: 77ASQ42A

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/77ASQ42ATHPT7KHKH7RDQX7JMF \
  | 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: ffc128734099df3fa8ea3fe2385fe961534697445ce91298e34ae2d9988b1fa2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a41357a528122964da269e3e877e53eedafc5f49591ae9905fdc48ce3c207d7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-05-25T19:35:08Z",
    "title_canon_sha256": "3803e57fc50065f16e7c38711233185868bb006129e2e81f8fd24a7488f1ac32"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5123",
    "kind": "arxiv",
    "version": 3
  }
}