Pith Number

pith:UQMF2CBX

pith:2011:UQMF2CBX35N3Y6VWNWQCBVXWUC

not attested not anchored not stored refs pending

Deformations of Lagrangian subvarieties of holomorphic symplectic manifolds

Christian Lehn

arxiv:1112.1887 v3 · 2011-12-08 · 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{UQMF2CBX35N3Y6VWNWQCBVXWUC}

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	2026-05-18T02:18:01.879807Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4185d0837df5bbc7ab66da020d6f6a09106d7f09a8d6d5225eefc7d4a27e083

Aliases

arxiv: 1112.1887 · arxiv_version: 1112.1887v3 · doi: 10.48550/arxiv.1112.1887 · pith_short_12: UQMF2CBX35N3 · pith_short_16: UQMF2CBX35N3Y6VW · pith_short_8: UQMF2CBX

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/UQMF2CBX35N3Y6VWNWQCBVXWUC \
  | 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: a4185d0837df5bbc7ab66da020d6f6a09106d7f09a8d6d5225eefc7d4a27e083

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "301b60189cfd7324491afd7761212377d2a123f28ca09fe03ee5f2ad971e5fbc",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-12-08T17:23:01Z",
    "title_canon_sha256": "6e364a52c74a810edd128fbeeefa736f0af0b0b02110eca692eed84ccd293a15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.1887",
    "kind": "arxiv",
    "version": 3
  }
}