Pith Number

pith:SX5FKPXW

pith:2016:SX5FKPXWJJDL734NKJGECPATZI

not attested not anchored not stored refs pending

The Fukaya category pairs with Lagrangian cobordisms exactly

Hiro Lee Tanaka

arxiv:1609.08400 v2 · 2016-09-27 · math.SG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SX5FKPXWJJDL734NKJGECPATZI}

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	2026-05-18T01:03:42.405190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95fa553ef64a46bfef8d524c413c13ca1aa84cebdfd27210c24f81049a2c6a22

Aliases

arxiv: 1609.08400 · arxiv_version: 1609.08400v2 · doi: 10.48550/arxiv.1609.08400 · pith_short_12: SX5FKPXWJJDL · pith_short_16: SX5FKPXWJJDL734N · pith_short_8: SX5FKPXW

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/SX5FKPXWJJDL734NKJGECPATZI \
  | 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: 95fa553ef64a46bfef8d524c413c13ca1aa84cebdfd27210c24f81049a2c6a22

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e44037588a936ce3f00b45f8252448c4d7af84e691dadd520e26495179dda068",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-09-27T13:16:11Z",
    "title_canon_sha256": "438c97cf8a24e1b14b83993a9cd7868a150dda811b92e41ee19e0e7d93cc5b66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.08400",
    "kind": "arxiv",
    "version": 2
  }
}