Pith Number

pith:E3GNSDSA

pith:2008:E3GNSDSA6ME7YWYL6PKO6HJDMC

not attested not anchored not stored refs pending

Perelman's W-functional and stability of K\"ahler-Ricci flow

Gang Tian, Xiaohua Zhu

arxiv:0801.3504 v2 · 2008-01-23 · 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{E3GNSDSA6ME7YWYL6PKO6HJDMC}

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	2026-05-18T00:09:53.519062Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26ccd90e40f309fc5b0bf3d4ef1d2360ab63386bdc4709282cdd07e141537fd4

Aliases

arxiv: 0801.3504 · arxiv_version: 0801.3504v2 · doi: 10.48550/arxiv.0801.3504 · pith_short_12: E3GNSDSA6ME7 · pith_short_16: E3GNSDSA6ME7YWYL · pith_short_8: E3GNSDSA

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/E3GNSDSA6ME7YWYL6PKO6HJDMC \
  | 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: 26ccd90e40f309fc5b0bf3d4ef1d2360ab63386bdc4709282cdd07e141537fd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b04dcfe6b28d1d467f92ebe0966b818bd448de38637ee5c62da99d3ba718c3c3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2008-01-23T05:54:12Z",
    "title_canon_sha256": "2f016792380bda7faa798d60d188cf966b69776c5d67e84891c97390e38d7d1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0801.3504",
    "kind": "arxiv",
    "version": 2
  }
}