Pith Number

pith:XI54VUF5

pith:2015:XI54VUF5RTP6IICDF5IEP2E5BV

not attested not anchored not stored refs pending

Lagrangian cobordism in Lefschetz fibrations

Octav Cornea, Paul Biran

arxiv:1504.00922 v2 · 2015-04-03 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XI54VUF5RTP6IICDF5IEP2E5BV}

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	2026-05-18T01:14:10.318987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ba3bcad0bd8cdfe420432f5047e89d0d5e1b96a47a5222601932ec9b21246dff

Aliases

arxiv: 1504.00922 · arxiv_version: 1504.00922v2 · doi: 10.48550/arxiv.1504.00922 · pith_short_12: XI54VUF5RTP6 · pith_short_16: XI54VUF5RTP6IICD · pith_short_8: XI54VUF5

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/XI54VUF5RTP6IICDF5IEP2E5BV \
  | 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: ba3bcad0bd8cdfe420432f5047e89d0d5e1b96a47a5222601932ec9b21246dff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b07eefb20c0b3b5782552f0e41e6bae5c135ec9fe091cde4c3969c568aaa31e",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-04-03T19:54:42Z",
    "title_canon_sha256": "6103cd8c518a990904acd9b3ae87b30fffc63686e1cdc0298e130bb6f2b01b61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.00922",
    "kind": "arxiv",
    "version": 2
  }
}