Pith Number

pith:IQVZ4WJM

pith:2011:IQVZ4WJM2ZUNHXJCPQBIJMOSOM

not attested not anchored not stored refs pending

Invariants of real Lefschetz fibrations

Nermin Salepci

arxiv:1101.1380 v1 · 2011-01-07 · 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{IQVZ4WJM2ZUNHXJCPQBIJMOSOM}

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	2026-05-18T02:23:00.234063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

442b9e592cd668d3dd227c0284b1d273343744ffc07a5fc098f68c0bd94773c7

Aliases

arxiv: 1101.1380 · arxiv_version: 1101.1380v1 · doi: 10.48550/arxiv.1101.1380 · pith_short_12: IQVZ4WJM2ZUN · pith_short_16: IQVZ4WJM2ZUNHXJC · pith_short_8: IQVZ4WJM

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/IQVZ4WJM2ZUNHXJCPQBIJMOSOM \
  | 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: 442b9e592cd668d3dd227c0284b1d273343744ffc07a5fc098f68c0bd94773c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3929fe122f2cea164a1686cb27f30d7c9b4258ec6e66d5c9d7215086e24f5f7f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-07T08:47:32Z",
    "title_canon_sha256": "fe209424b52951ade6396fea647158921f05c8bdf8e765168a5f42becc175ae6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1380",
    "kind": "arxiv",
    "version": 1
  }
}