Pith Number

pith:J2QM4IEG

pith:2012:J2QM4IEGZ3J3D44RQQJ3ON4VF5

not attested not anchored not stored refs pending

Floer-Fukaya theory and topological elliptic objects

Yasha Savelyev

arxiv:1202.4118 v5 · 2012-02-19 · math.AT · math.CT · 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{J2QM4IEGZ3J3D44RQQJ3ON4VF5}

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	2026-05-18T02:45:14.877648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ea0ce2086ced3b1f3918413b737952f5beaf3cf0a16ab17aacd62d7bcaaad5f

Aliases

arxiv: 1202.4118 · arxiv_version: 1202.4118v5 · doi: 10.48550/arxiv.1202.4118 · pith_short_12: J2QM4IEGZ3J3 · pith_short_16: J2QM4IEGZ3J3D44R · pith_short_8: J2QM4IEG

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/J2QM4IEGZ3J3D44RQQJ3ON4VF5 \
  | 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: 4ea0ce2086ced3b1f3918413b737952f5beaf3cf0a16ab17aacd62d7bcaaad5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a5842beaaaf3e9092cdc48c2dd99dab0d4f4f96338e0285dd86800a1e17ef252",
    "cross_cats_sorted": [
      "math.CT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-02-19T00:33:44Z",
    "title_canon_sha256": "cc3c09ea2710e9fcc37ef2ab37231aa831384a05a70f68e67ceab393a24668b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4118",
    "kind": "arxiv",
    "version": 5
  }
}