Pith Number

pith:CKBLCFUQ

pith:2006:CKBLCFUQ3Y6VXZZRIKXPFAK3KO

not attested not anchored not stored refs pending

On the Kahler-Ricci flow with small initial E_1 energy (I)

Bing Wang, Haozhao Li, Xiuxiong Chen

arxiv:math/0609694 v2 · 2006-09-25 · 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{CKBLCFUQ3Y6VXZZRIKXPFAK3KO}

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	2026-07-04T14:59:57.796607Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1282b11690de3d5be73142aef2815b53af5ff96fe4f176395277a9631300a35d

Aliases

arxiv: math/0609694 · arxiv_version: math/0609694v2 · doi: 10.48550/arxiv.math/0609694 · pith_short_12: CKBLCFUQ3Y6V · pith_short_16: CKBLCFUQ3Y6VXZZR · pith_short_8: CKBLCFUQ

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/CKBLCFUQ3Y6VXZZRIKXPFAK3KO \
  | 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: 1282b11690de3d5be73142aef2815b53af5ff96fe4f176395277a9631300a35d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2e9e10ab68c490e5ef892ff95b76df9275d2027b92ca3d709316a8f2744a96b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2006-09-25T14:13:26Z",
    "title_canon_sha256": "5bf195b2801d27ae0d4a856440d3c2279aa6d9c42a0a0684210f1d87a6f89bcf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609694",
    "kind": "arxiv",
    "version": 2
  }
}