Pith Number

pith:XX46UB4C

pith:2026:XX46UB4CG7UQL3HMRXFEZJAWDY

not attested not anchored not stored refs pending

Gromov-Hausdorff Limits of Noncollapsed K\"ahler-Ricci Flows and the Geometry of Ricci Shrinkers

Junsheng Zhang, Yu Li

arxiv:2607.25644 v1 · 2026-07-28 · 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{XX46UB4CG7UQL3HMRXFEZJAWDY}

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	2026-07-29T01:25:54.594533Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bdf9ea078237e905ecec8dca4ca4161e16730bc410c8d011a40051faf19015ec

Aliases

arxiv: 2607.25644 · arxiv_version: 2607.25644v1 · doi: 10.48550/arxiv.2607.25644 · pith_short_12: XX46UB4CG7UQ · pith_short_16: XX46UB4CG7UQL3HM · pith_short_8: XX46UB4C

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/XX46UB4CG7UQL3HMRXFEZJAWDY \
  | 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: bdf9ea078237e905ecec8dca4ca4161e16730bc410c8d011a40051faf19015ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fc86d05d0b309f5d99f54c4d0b848dd8064c9abf43e4a3a6736577e08db7f252",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-28T12:28:40Z",
    "title_canon_sha256": "1c3a5c7acb4b97e7439255db92fde055f5d35c4817ff5b12effd8cba0e77b142"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.25644",
    "kind": "arxiv",
    "version": 1
  }
}