Pith Number

pith:Q6U77JPJ

pith:2014:Q6U77JPJX6GQVCLAEXXKGNVLWL

not attested not anchored not stored refs pending

The equivariant pair-of-pants product in fixed point Floer cohomology

Paul Seidel

arxiv:1411.2639 v5 · 2014-11-10 · 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{Q6U77JPJX6GQVCLAEXXKGNVLWL}

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	2026-05-18T01:59:58.220438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

87a9ffa5e9bf8d0a896025eea336abb2eef8cf784d49ad3f7243effae8e4d191

Aliases

arxiv: 1411.2639 · arxiv_version: 1411.2639v5 · doi: 10.48550/arxiv.1411.2639 · pith_short_12: Q6U77JPJX6GQ · pith_short_16: Q6U77JPJX6GQVCLA · pith_short_8: Q6U77JPJ

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/Q6U77JPJX6GQVCLAEXXKGNVLWL \
  | 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: 87a9ffa5e9bf8d0a896025eea336abb2eef8cf784d49ad3f7243effae8e4d191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b8659b1eb7ceeeb3797f9f283dea854407b01154cf04d1b2dde812a0b08ca23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-11-10T21:53:18Z",
    "title_canon_sha256": "04b24a10e0f42f38f03caad943e911831527e99713898d86858ab2d1aa04fdd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.2639",
    "kind": "arxiv",
    "version": 5
  }
}