Pith Number

pith:2677OZX5

pith:2019:2677OZX5SYZX2VTP4GGHZFK6PP

not attested not anchored not stored refs pending

Stability of the conical K\"ahler-Ricci flows on Fano manifolds

Jiawei Liu, Xi Zhang

arxiv:1903.07528 v2 · 2019-03-18 · 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{2677OZX5SYZX2VTP4GGHZFK6PP}

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	2026-05-17T23:48:29.766928Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7bff766fd96337d566fe18c7c955e7bc055701830b3f52851eaf58122a0b80b

Aliases

arxiv: 1903.07528 · arxiv_version: 1903.07528v2 · doi: 10.48550/arxiv.1903.07528 · pith_short_12: 2677OZX5SYZX · pith_short_16: 2677OZX5SYZX2VTP · pith_short_8: 2677OZX5

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/2677OZX5SYZX2VTP4GGHZFK6PP \
  | 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: d7bff766fd96337d566fe18c7c955e7bc055701830b3f52851eaf58122a0b80b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a08189ef89ad09c86d836e4eb7a70cd8eb7bd24d481c1f580d61451ee97c9278",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-03-18T16:14:21Z",
    "title_canon_sha256": "06882e4e28f61c641eec30202f20dc79058c45ae749a085a3f2c9c883c1c9575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07528",
    "kind": "arxiv",
    "version": 2
  }
}