Pith Number

pith:ELYENFO7

pith:2010:ELYENFO7XMS6YLEFT7V6L6BUAF

not attested not anchored not stored refs pending

K\"ahler Ricci flow with vanished Futaki invariant

Zhenlei Zhang

arxiv:1011.4799 v2 · 2010-11-22 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ELYENFO7XMS6YLEFT7V6L6BUAF}

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	2026-05-18T04:34:27.112580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

22f04695dfbb25ec2c859febe5f834014ef633602b5661ba7893302dcd6a6903

Aliases

arxiv: 1011.4799 · arxiv_version: 1011.4799v2 · doi: 10.48550/arxiv.1011.4799 · pith_short_12: ELYENFO7XMS6 · pith_short_16: ELYENFO7XMS6YLEF · pith_short_8: ELYENFO7

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/ELYENFO7XMS6YLEFT7V6L6BUAF \
  | 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: 22f04695dfbb25ec2c859febe5f834014ef633602b5661ba7893302dcd6a6903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c65e58d7a37ed23e35cc0480e7432ade1fda35d078dca976337c638bfef0c95f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-11-22T13:14:52Z",
    "title_canon_sha256": "cb0aaf858afb25f2b4a0970aca30abd43074b212151a6ca836f4df94ee1c029d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4799",
    "kind": "arxiv",
    "version": 2
  }
}