Pith Number

pith:LPZJPIF6

pith:2013:LPZJPIF6LRD4IG2V7HEPXHBV6D

not attested not anchored not stored refs pending

Gromov-Hausdorff collapsing of Calabi-Yau manifolds

Mark Gross, Valentino Tosatti, Yuguang Zhang

arxiv:1304.1820 v1 · 2013-04-05 · math.DG · math.AG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LPZJPIF6LRD4IG2V7HEPXHBV6D}

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	2026-05-18T01:12:58.921828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bf297a0be5c47c41b55f9c8fb9c35f0d3e6f325bdc1f1dbb99e83e1a6530a17

Aliases

arxiv: 1304.1820 · arxiv_version: 1304.1820v1 · doi: 10.48550/arxiv.1304.1820 · pith_short_12: LPZJPIF6LRD4 · pith_short_16: LPZJPIF6LRD4IG2V · pith_short_8: LPZJPIF6

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/LPZJPIF6LRD4IG2V7HEPXHBV6D \
  | 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: 5bf297a0be5c47c41b55f9c8fb9c35f0d3e6f325bdc1f1dbb99e83e1a6530a17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64c0697cac27964c43f220201023e2f68893477ce2defd43ff01da05e8804220",
    "cross_cats_sorted": [
      "math.AG",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-05T20:50:04Z",
    "title_canon_sha256": "7cc91e41a26b676e5f60f7973f25467e81b2ced264a9d0d798c0cecd2d76fa62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.1820",
    "kind": "arxiv",
    "version": 1
  }
}