Pith Number

pith:T7KPRZLW

pith:2007:T7KPRZLWDQMY3UY2BOW7BVCYKF

not attested not anchored not stored refs pending

The Calabi flow on K\"ahler surface with bounded Sobolev constant

Weiyong He, Xiuxiong Chen

arxiv:0710.5159 v5 · 2007-10-26 · 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{T7KPRZLWDQMY3UY2BOW7BVCYKF}

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	2026-07-04T17:18:11.321516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9fd4f8e5761c198dd31a0badf0d4585167bc7402cfaa41f7abbd7b1a4f19e7be

Aliases

arxiv: 0710.5159 · arxiv_version: 0710.5159v5 · doi: 10.48550/arxiv.0710.5159 · pith_short_12: T7KPRZLWDQMY · pith_short_16: T7KPRZLWDQMY3UY2 · pith_short_8: T7KPRZLW

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/T7KPRZLWDQMY3UY2BOW7BVCYKF \
  | 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: 9fd4f8e5761c198dd31a0badf0d4585167bc7402cfaa41f7abbd7b1a4f19e7be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5715dec87f8f02e41e692288c52b118f018619c61088a2c152979fd98b123d77",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-10-26T18:30:45Z",
    "title_canon_sha256": "0bc21abd451b3128518eb0a64e38b0e92aa5b089c74a1c34ac1359b43c8267a5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.5159",
    "kind": "arxiv",
    "version": 5
  }
}