Pith Number

pith:BYOU45WW

pith:2012:BYOU45WWWH7LHQIR4PJCJHLQAU

not attested not anchored not stored refs pending

On almost holomorphic Lagrangian fibrations

Daisuke Matsushita

arxiv:1209.1194 v1 · 2012-09-06 · 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{BYOU45WWWH7LHQIR4PJCJHLQAU}

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	2026-05-18T03:46:06.289683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e1d4e76d6b1feb3c111e3d2249d7005003fe82c0c93318ef2b4347bc5be3e8e

Aliases

arxiv: 1209.1194 · arxiv_version: 1209.1194v1 · doi: 10.48550/arxiv.1209.1194 · pith_short_12: BYOU45WWWH7L · pith_short_16: BYOU45WWWH7LHQIR · pith_short_8: BYOU45WW

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/BYOU45WWWH7LHQIR4PJCJHLQAU \
  | 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: 0e1d4e76d6b1feb3c111e3d2249d7005003fe82c0c93318ef2b4347bc5be3e8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a167df1eeb1198c8e14e52df75ac4cbb19a42e93049ec26c73eb989f62eaaba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-06T06:42:52Z",
    "title_canon_sha256": "2fae4e830aee5d4c47a7e3e876ebb7f199591c78efab9a9b35a22a65aeed2851"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1194",
    "kind": "arxiv",
    "version": 1
  }
}