Pith Number

pith:7OCYUKZI

pith:2012:7OCYUKZICUK4JQ3ESRJ6B4TFO7

not attested not anchored not stored refs pending

The equivalence of Heegaard Floer homology and embedded contact homology via open book decompositions II

Ko Honda, Paolo Ghiggini, Vincent Colin

arxiv:1208.1077 v2 · 2012-08-06 · 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{7OCYUKZICUK4JQ3ESRJ6B4TFO7}

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	2026-05-18T00:41:54.143527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb858a2b281515c4c3649453e0f26577d02d46248d7fb89adc353138a49ecb8f

Aliases

arxiv: 1208.1077 · arxiv_version: 1208.1077v2 · doi: 10.48550/arxiv.1208.1077 · pith_short_12: 7OCYUKZICUK4 · pith_short_16: 7OCYUKZICUK4JQ3E · pith_short_8: 7OCYUKZI

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/7OCYUKZICUK4JQ3ESRJ6B4TFO7 \
  | 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: fb858a2b281515c4c3649453e0f26577d02d46248d7fb89adc353138a49ecb8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4bd4b0f2d9a4831e23451d924df464eaa0531bff9f6283a2c6f82a44c8a3c6e",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-08-06T03:30:28Z",
    "title_canon_sha256": "2bf665bc5abce547fe6e47d79b10437089b3e4c92152e5b4e08ccc602baae6e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1077",
    "kind": "arxiv",
    "version": 2
  }
}