Pith Number

pith:H35YDPYB

pith:1999:H35YDPYBSMZIJ43HFH6DCPKKTP

not attested not anchored not stored refs pending

Lefschetz fibrations and the Hodge bundle

Ivan Smith

arxiv:math/9907200 v1 · 1999-07-14 · 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{H35YDPYBSMZIJ43HFH6DCPKKTP}

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	2026-05-18T02:37:59.213336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3efb81bf01933284f36729fc313d4a9bd2ea1646f6f0983968f3a398add5a191

Aliases

arxiv: math/9907200 · arxiv_version: math/9907200v1 · doi: 10.48550/arxiv.math/9907200 · pith_short_12: H35YDPYBSMZI · pith_short_16: H35YDPYBSMZIJ43H · pith_short_8: H35YDPYB

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/H35YDPYBSMZIJ43HFH6DCPKKTP \
  | 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: 3efb81bf01933284f36729fc313d4a9bd2ea1646f6f0983968f3a398add5a191

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31f22184e4d1b8f273e5cec03b33ccec8a7850a7ec148fd38685febd3ca8595b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "1999-07-14T00:00:00Z",
    "title_canon_sha256": "3fa959f4c51a95fa58f72c501a977c3ced71b6e2765a7154d10e8b04050fb7d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907200",
    "kind": "arxiv",
    "version": 1
  }
}