Pith Number

pith:X5MOSSWM

pith:2007:X5MOSSWM3O2VDEUFJ76XQM2O7A

not attested not anchored not stored refs pending

The K\"ahler-Ricci flow and the $\bar\partial$ operator on vector fields

Ben Weinkove, D.H. Phong, Jacob Sturm, Jian Song

arxiv:0705.4048 v2 · 2007-05-28 · 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{X5MOSSWM3O2VDEUFJ76XQM2O7A}

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	2026-05-17T23:58:00.102671Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf58e94accdbb55192854ffd78334ef821ea362f7c960424aa16ef80433f9023

Aliases

arxiv: 0705.4048 · arxiv_version: 0705.4048v2 · doi: 10.48550/arxiv.0705.4048 · pith_short_12: X5MOSSWM3O2V · pith_short_16: X5MOSSWM3O2VDEUF · pith_short_8: X5MOSSWM

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/X5MOSSWM3O2VDEUFJ76XQM2O7A \
  | 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: bf58e94accdbb55192854ffd78334ef821ea362f7c960424aa16ef80433f9023

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d63c2b942b2c0a208d015925667e28c4da4cd5706224b0b84c2f31a4a4c1082",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.DG",
    "submitted_at": "2007-05-28T14:06:38Z",
    "title_canon_sha256": "a661acd4daabbd5c74d051e1830d06035ecb56c4781dbfb9a48db341e645b844"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0705.4048",
    "kind": "arxiv",
    "version": 2
  }
}