Pith Number

pith:AUFNZD7A

pith:1999:AUFNZD7APBU3V7IEBY2XSNOP4V

not attested not anchored not stored refs pending

Equidimensionality of complex Lagrangian fibrations

Daisuke Matsushita

arxiv:math/9911166 v2 · 1999-11-22 · 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{AUFNZD7APBU3V7IEBY2XSNOP4V}

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	2026-05-18T01:05:32.475730Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

050adc8fe07869bafd040e357935cfe577e7992034c08c9564b3fbc42558de61

Aliases

arxiv: math/9911166 · arxiv_version: math/9911166v2 · doi: 10.48550/arxiv.math/9911166 · pith_short_12: AUFNZD7APBU3 · pith_short_16: AUFNZD7APBU3V7IE · pith_short_8: AUFNZD7A

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/AUFNZD7APBU3V7IEBY2XSNOP4V \
  | 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: 050adc8fe07869bafd040e357935cfe577e7992034c08c9564b3fbc42558de61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b20e6830f001b9377d0596de136f0d3e78275907914e0330f42ae7c52bebdd0c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "1999-11-22T12:17:39Z",
    "title_canon_sha256": "022fba78c2c54e670a77db8ff70730d58540215b7eefba0ccf283a233da6c865"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911166",
    "kind": "arxiv",
    "version": 2
  }
}