Pith Number

pith:JMQXBTUE

pith:2013:JMQXBTUETHQPZ4UJH64YMUNQT6

not attested not anchored not stored refs pending

Three Circle Theorems on K\"ahler manifolds and applications

Gang Liu

arxiv:1308.0710 v3 · 2013-08-03 · math.DG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JMQXBTUETHQPZ4UJH64YMUNQT6}

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	2026-05-18T02:43:24.346258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b2170ce8499e0fcf2893fb98651b09fa668b6b1e41bb563750498513b18557a

Aliases

arxiv: 1308.0710 · arxiv_version: 1308.0710v3 · doi: 10.48550/arxiv.1308.0710 · pith_short_12: JMQXBTUETHQP · pith_short_16: JMQXBTUETHQPZ4UJ · pith_short_8: JMQXBTUE

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/JMQXBTUETHQPZ4UJH64YMUNQT6 \
  | 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: 4b2170ce8499e0fcf2893fb98651b09fa668b6b1e41bb563750498513b18557a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7cd854af0ecfe7c223a1ada967276e5a3959594a859725f49ea590f686c2952",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-08-03T15:53:31Z",
    "title_canon_sha256": "144f0589b2776d53e57cfb2368efb784449242a026bd9cf352c203af48c33f4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.0710",
    "kind": "arxiv",
    "version": 3
  }
}