Pith Number

pith:5C5ZK74L

pith:2014:5C5ZK74L6WSXGB4L4AQFXQRYTU

not attested not anchored not stored refs pending

Geometric Cycles in Floer Theory

Max Lipyanskiy

arxiv:1409.1126 v1 · 2014-09-03 · 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{5C5ZK74L6WSXGB4L4AQFXQRYTU}

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	2026-05-18T02:43:44.282255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8bb957f8bf5a573078be0205bc2389d0a68b66c4ecd66c6cc3524db89569db9

Aliases

arxiv: 1409.1126 · arxiv_version: 1409.1126v1 · doi: 10.48550/arxiv.1409.1126 · pith_short_12: 5C5ZK74L6WSX · pith_short_16: 5C5ZK74L6WSXGB4L · pith_short_8: 5C5ZK74L

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/5C5ZK74L6WSXGB4L4AQFXQRYTU \
  | 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: e8bb957f8bf5a573078be0205bc2389d0a68b66c4ecd66c6cc3524db89569db9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19d68f2fd69c9e4757c23c5ed22ff136cfe96e76f69de7009ab9ef5f0c85106f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-09-03T15:27:43Z",
    "title_canon_sha256": "b6d81c5a65f2f09d6981648a04aedc80fc99b59070dbc20d97be74b5195d4ef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.1126",
    "kind": "arxiv",
    "version": 1
  }
}