Pith Number

pith:VMCNJH5X

pith:2012:VMCNJH5X27TVYQYUIRVCPCWOKG

not attested not anchored not stored refs pending

Global Kahler-Ricci Flow on Complete Non-Compact Manifolds

Li Ma

arxiv:1209.5063 v3 · 2012-09-23 · math.DG · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VMCNJH5X27TVYQYUIRVCPCWOKG}

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	2026-05-18T01:32:01.535203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab04d49fb7d7e75c4314446a278ace519aee7288b986eacc9747a01b629b0dfb

Aliases

arxiv: 1209.5063 · arxiv_version: 1209.5063v3 · doi: 10.48550/arxiv.1209.5063 · pith_short_12: VMCNJH5X27TV · pith_short_16: VMCNJH5X27TVYQYU · pith_short_8: VMCNJH5X

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/VMCNJH5X27TVYQYUIRVCPCWOKG \
  | 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: ab04d49fb7d7e75c4314446a278ace519aee7288b986eacc9747a01b629b0dfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30a15ee8b036ac1e787e442787d00fc9281e3573a523854b8df446842fa6e760",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-23T12:34:18Z",
    "title_canon_sha256": "b2ed95f8d5b7c2f24fb7c90e8ecfce9bb90ba1f2f0885f03c43904bbd15efe88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5063",
    "kind": "arxiv",
    "version": 3
  }
}