Pith Number

pith:JQPFJXJX

pith:2011:JQPFJXJX4YT6AGUAQNWB4MMUJ3

not attested not anchored not stored refs pending

Holomorphic Lagrangian fibrations of toric hyperkahler manifolds

Craig van Coevering, Wei Zhang

arxiv:1110.0269 v1 · 2011-10-03 · math.DG · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JQPFJXJX4YT6AGUAQNWB4MMUJ3}

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	2026-05-18T04:11:50.388136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4c1e54dd37e627e01a80836c1e31944ee04ea42186cb7f8b025dcd35cb3bc994

Aliases

arxiv: 1110.0269 · arxiv_version: 1110.0269v1 · doi: 10.48550/arxiv.1110.0269 · pith_short_12: JQPFJXJX4YT6 · pith_short_16: JQPFJXJX4YT6AGUA · pith_short_8: JQPFJXJX

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/JQPFJXJX4YT6AGUAQNWB4MMUJ3 \
  | 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: 4c1e54dd37e627e01a80836c1e31944ee04ea42186cb7f8b025dcd35cb3bc994

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "671b8e7b0aa24eb281e18b866d82636fb756febaf55691150c1f1fdb45a4dfa4",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-10-03T05:35:59Z",
    "title_canon_sha256": "87fa6efb120cc03c20dba2d25afa9c2a8320ade279abc351a1d14c131b61d749"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0269",
    "kind": "arxiv",
    "version": 1
  }
}