Pith Number

pith:GH2XGWYB

pith:2013:GH2XGWYBPDHHEFH2IOJDZXNJDW

not attested not anchored not stored refs pending

Base manifolds for Lagrangian fibrations on hyperk\"ahler manifolds

Christian Lehn, Daniel Greb

arxiv:1303.3919 v2 · 2013-03-15 · 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{GH2XGWYBPDHHEFH2IOJDZXNJDW}

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	2026-05-18T02:18:41.220925Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31f5735b0178ce7214fa43923cdda91da5c6b9d854065fa16ca2e47c357846cc

Aliases

arxiv: 1303.3919 · arxiv_version: 1303.3919v2 · doi: 10.48550/arxiv.1303.3919 · pith_short_12: GH2XGWYBPDHH · pith_short_16: GH2XGWYBPDHHEFH2 · pith_short_8: GH2XGWYB

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/GH2XGWYBPDHHEFH2IOJDZXNJDW \
  | 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: 31f5735b0178ce7214fa43923cdda91da5c6b9d854065fa16ca2e47c357846cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2faa4671476a9e91961a9d951b12b076eb2920ba294991764ee02019ab4b6f5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-03-15T22:41:30Z",
    "title_canon_sha256": "e3f2a255dcf1fc1f293a706ec86571d7ece1a5325904a821855a06e2f5d6f2d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.3919",
    "kind": "arxiv",
    "version": 2
  }
}