Pith Number

pith:5ONVXJOS

pith:2012:5ONVXJOSMA6AIAB3S2WJR6MIWK

not attested not anchored not stored refs pending

Quasi-isometry and deformations of Calabi-Yau manifolds

Kefeng Liu, Sheng Rao, Xiaokui Yang

arxiv:1207.1182 v2 · 2012-07-05 · math.DG · 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{5ONVXJOSMA6AIAB3S2WJR6MIWK}

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	2026-05-18T02:58:57.823416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb9b5ba5d2603c04003b96ac98f988b283303c20c8d6c744cdef675c0e1e5595

Aliases

arxiv: 1207.1182 · arxiv_version: 1207.1182v2 · doi: 10.48550/arxiv.1207.1182 · pith_short_12: 5ONVXJOSMA6A · pith_short_16: 5ONVXJOSMA6AIAB3 · pith_short_8: 5ONVXJOS

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/5ONVXJOSMA6AIAB3S2WJR6MIWK \
  | 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: eb9b5ba5d2603c04003b96ac98f988b283303c20c8d6c744cdef675c0e1e5595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8960a6996f61313f14f9c0dd7c267810fbc6b9e873bff4a21c7e5c9451d84c01",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-07-05T07:55:24Z",
    "title_canon_sha256": "3766e2974577ceb4075f612aced44e17d1e763b1d2c81cda8624f41d0d8e8407"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.1182",
    "kind": "arxiv",
    "version": 2
  }
}