Pith Number

pith:B5QVQVD7

pith:2012:B5QVQVD7CCN7TNCGTSBFSULJ4D

not attested not anchored not stored refs pending

Legendrian knots and exact Lagrangian cobordisms

Ko Honda, Tam\'as K\'alm\'an, Tobias Ekholm

arxiv:1212.1519 v3 · 2012-12-07 · math.SG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B5QVQVD7CCN7TNCGTSBFSULJ4D}

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	2026-05-18T03:37:52.185598Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f6158547f109bf9b4469c82595169e0ee137cb1a889b2cab213a5a9f6877a00

Aliases

arxiv: 1212.1519 · arxiv_version: 1212.1519v3 · doi: 10.48550/arxiv.1212.1519 · pith_short_12: B5QVQVD7CCN7 · pith_short_16: B5QVQVD7CCN7TNCG · pith_short_8: B5QVQVD7

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/B5QVQVD7CCN7TNCGTSBFSULJ4D \
  | 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: 0f6158547f109bf9b4469c82595169e0ee137cb1a889b2cab213a5a9f6877a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32342d1bb4542dee4b09ddee2f8bd124b589071443266d7bdcae2d8abe8eaa56",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2012-12-07T02:00:30Z",
    "title_canon_sha256": "3092b82d81c038bdab783e7242dbf0085ea92c6c8b9aa8fa0752b74285cbb186"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1519",
    "kind": "arxiv",
    "version": 3
  }
}