Pith Number

pith:EMUZ53WU

pith:2012:EMUZ53WUJHFR7DGCOHKVJZKI7N

not attested not anchored not stored refs pending

Families of Lagrangian fibrations on hyperkaehler manifolds

Ljudmila Kamenova, Misha Verbitsky

arxiv:1208.4626 v2 · 2012-08-22 · math.AG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMUZ53WUJHFR7DGCOHKVJZKI7N}

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	2026-05-18T02:52:23.778387Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23299eeed449cb1f8cc271d554e548fb7b4d5c7d990528021c1ce5594fb521e0

Aliases

arxiv: 1208.4626 · arxiv_version: 1208.4626v2 · doi: 10.48550/arxiv.1208.4626 · pith_short_12: EMUZ53WUJHFR · pith_short_16: EMUZ53WUJHFR7DGC · pith_short_8: EMUZ53WU

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/EMUZ53WUJHFR7DGCOHKVJZKI7N \
  | 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: 23299eeed449cb1f8cc271d554e548fb7b4d5c7d990528021c1ce5594fb521e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ade849c96fa1be8b4aa6a412d1a5058bb897666bb5003fb8a5d9ce1c7136cdaa",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-08-22T21:08:49Z",
    "title_canon_sha256": "417146b35a8c8c4a4830fd885036985d61f5256a27359c719fc373e22d9e292d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4626",
    "kind": "arxiv",
    "version": 2
  }
}