Pith Number

pith:IO6HEKF3

pith:2011:IO6HEKF3D3X4HSJUJLZT7452HJ

not attested not anchored not stored refs pending

Fukaya categories of the torus and Dehn surgery

Timothy Perutz, Yanki Lekili

arxiv:1102.3160 v2 · 2011-02-15 · 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{IO6HEKF3D3X4HSJUJLZT7452HJ}

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	2026-05-18T01:11:13.923834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43bc7228bb1eefc3c9344af33ff3ba3a7da7b9f1783c96492c2e4e2fda8f581e

Aliases

arxiv: 1102.3160 · arxiv_version: 1102.3160v2 · doi: 10.48550/arxiv.1102.3160 · pith_short_12: IO6HEKF3D3X4 · pith_short_16: IO6HEKF3D3X4HSJU · pith_short_8: IO6HEKF3

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/IO6HEKF3D3X4HSJUJLZT7452HJ \
  | 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: 43bc7228bb1eefc3c9344af33ff3ba3a7da7b9f1783c96492c2e4e2fda8f581e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32f6517b11468419a57a504d7f45288a0bad3045b9eb0055bac3a6dd60f1ce83",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2011-02-15T19:20:50Z",
    "title_canon_sha256": "dd6838a0acd3751347a8fa896f533d13d090dc32158a28a80e0486b5aa31b2b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3160",
    "kind": "arxiv",
    "version": 2
  }
}