Pith Number

pith:6MZIH3QP

pith:2008:6MZIH3QPEUUC2PSGWOGXDWZHS5

not attested not anchored not stored refs pending

On Lagrangian fibrations by Jacobians I

Justin Sawon

arxiv:0803.1186 v3 · 2008-03-07 · 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{6MZIH3QPEUUC2PSGWOGXDWZHS5}

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	2026-05-18T01:25:48.025405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f33283ee0f25282d3e46b38d71db27977866a3beb8fb48a96c52f60a37eb4882

Aliases

arxiv: 0803.1186 · arxiv_version: 0803.1186v3 · doi: 10.48550/arxiv.0803.1186 · pith_short_12: 6MZIH3QPEUUC · pith_short_16: 6MZIH3QPEUUC2PSG · pith_short_8: 6MZIH3QP

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/6MZIH3QPEUUC2PSGWOGXDWZHS5 \
  | 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: f33283ee0f25282d3e46b38d71db27977866a3beb8fb48a96c52f60a37eb4882

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e9f8563d55783cea5d952b97e1e865381f5ee1000734481f7fdabb2ac2a8b23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2008-03-07T21:50:52Z",
    "title_canon_sha256": "5f07f6eaca9ab14362cea14393722bf8876616537865a4141094d88f1b29aa8f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0803.1186",
    "kind": "arxiv",
    "version": 3
  }
}