Pith Number

pith:DKB62A56

pith:2015:DKB62A56EZEFQ7M2HF4SMDTYCA

not attested not anchored not stored refs pending

Symplectic Lefschetz Fibrations from a Lie-theoretical Viewpoint

B. Callander, E. Gasparim, L. A. B. San Martin, L. Grama

arxiv:1504.03054 v1 · 2015-04-13 · 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{DKB62A56EZEFQ7M2HF4SMDTYCA}

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	2026-05-18T02:18:59.314832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a83ed03be2648587d9a3979260e78102a3aa56f1189dc34d2c8c3a111d9b47e

Aliases

arxiv: 1504.03054 · arxiv_version: 1504.03054v1 · doi: 10.48550/arxiv.1504.03054 · pith_short_12: DKB62A56EZEF · pith_short_16: DKB62A56EZEFQ7M2 · pith_short_8: DKB62A56

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/DKB62A56EZEFQ7M2HF4SMDTYCA \
  | 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: 1a83ed03be2648587d9a3979260e78102a3aa56f1189dc34d2c8c3a111d9b47e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dfdf60c92c7dd676af005196b010ae7d7aa28b08e202c4309fd9ec878e3690b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-04-13T03:26:23Z",
    "title_canon_sha256": "6e9f3db5b938ced539166421bfa10f50c5ebfc7d48d2dd2f508dd7cbbf078097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.03054",
    "kind": "arxiv",
    "version": 1
  }
}