Pith Number

pith:NB3435IW

pith:2008:NB3435IW4BLM6LOCOTE4MB55RS

not attested not anchored not stored refs pending

A simple proof of a theorem of Fukaya and Oh

Vito Iacovino

arxiv:0812.0129 v1 · 2008-11-30 · 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{NB3435IW4BLM6LOCOTE4MB55RS}

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	2026-07-04T15:33:09.391025Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6877cdf516e056cf2dc274c9c607bd8cad7866ebca4bdbfc743527e56633cfc3

Aliases

arxiv: 0812.0129 · arxiv_version: 0812.0129v1 · doi: 10.48550/arxiv.0812.0129 · pith_short_12: NB3435IW4BLM · pith_short_16: NB3435IW4BLM6LOC · pith_short_8: NB3435IW

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/NB3435IW4BLM6LOCOTE4MB55RS \
  | 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: 6877cdf516e056cf2dc274c9c607bd8cad7866ebca4bdbfc743527e56633cfc3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3da1dc664c263aa6f9083819be5f747adfec1f5dd45ab6bba9c58fda90ddbfef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2008-11-30T10:08:22Z",
    "title_canon_sha256": "c04b763b7a5fb1140ec0346eca348dc295a792805af836d7d4d623f7f3468827"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.0129",
    "kind": "arxiv",
    "version": 1
  }
}