Pith Number

pith:F5ZSPJXI

pith:2000:F5ZSPJXIC5E522A25HFTAGREND

not attested not anchored not stored refs pending

Higher direct images of Lagrangian fibrations

Daisuke Matsushita

arxiv:math/0010283 v1 · 2000-10-29 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F5ZSPJXIC5E522A25HFTAGREND}

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	2026-05-18T01:05:38.154063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f7327a6e81749dd681ae9cb301a2468eb727260835ecb60fa0525de9b2c302c

Aliases

arxiv: math/0010283 · arxiv_version: math/0010283v1 · doi: 10.48550/arxiv.math/0010283 · pith_short_12: F5ZSPJXIC5E5 · pith_short_16: F5ZSPJXIC5E522A2 · pith_short_8: F5ZSPJXI

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/F5ZSPJXIC5E522A25HFTAGREND \
  | 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: 2f7327a6e81749dd681ae9cb301a2468eb727260835ecb60fa0525de9b2c302c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "403e46517af2cd1ac98c088a8babf2959d82b2f7b5bd840485bb491059844d7d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2000-10-29T11:44:13Z",
    "title_canon_sha256": "a5686533ec13bcbe872fa0d25f4a70b07640165d8fdb373a0d25a0289f82303d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010283",
    "kind": "arxiv",
    "version": 1
  }
}