Pith Number

pith:M3GPVENH

pith:2013:M3GPVENH5F5JOZM7MIGZUBTHTY

not attested not anchored not stored refs pending

Floer cohomology of immersed Lagrangian spheres in smoothings of $A_N$ surfaces

Garrett Alston

arxiv:1311.2327 v1 · 2013-11-11 · 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{M3GPVENH5F5JOZM7MIGZUBTHTY}

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	2026-05-18T03:07:32.951406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66ccfa91a7e97a97659f620d9a06679e00ee3beb90188af88e6432b7c1efd36e

Aliases

arxiv: 1311.2327 · arxiv_version: 1311.2327v1 · doi: 10.48550/arxiv.1311.2327 · pith_short_12: M3GPVENH5F5J · pith_short_16: M3GPVENH5F5JOZM7 · pith_short_8: M3GPVENH

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/M3GPVENH5F5JOZM7MIGZUBTHTY \
  | 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: 66ccfa91a7e97a97659f620d9a06679e00ee3beb90188af88e6432b7c1efd36e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0cf3829ab195eb1f3fa34d05596ff4d5cb364388f8c314cf420baef0a9b9f6ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-11-11T01:50:51Z",
    "title_canon_sha256": "f47ee0db025e9d06b453f1a7b5fff531bb9382a93736e558005695f660570a88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.2327",
    "kind": "arxiv",
    "version": 1
  }
}