Pith Number

pith:L4NX3RIH

pith:2010:L4NX3RIHB62PY7ZH3AUR6EWMWK

not attested not anchored not stored refs pending

K\"ahler Ricci flow on Fano manifolds with vanished Futaki invariants

Zhenlei Zhang

arxiv:1010.5959 v2 · 2010-10-28 · 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{L4NX3RIHB62PY7ZH3AUR6EWMWK}

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	2026-05-18T04:36:51.036326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1b7dc5070fb4fc7f27d8291f12ccb28a654a0d82372aeb282d28c40921b2bf

Aliases

arxiv: 1010.5959 · arxiv_version: 1010.5959v2 · doi: 10.48550/arxiv.1010.5959 · pith_short_12: L4NX3RIHB62P · pith_short_16: L4NX3RIHB62PY7ZH · pith_short_8: L4NX3RIH

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/L4NX3RIHB62PY7ZH3AUR6EWMWK \
  | 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: 5f1b7dc5070fb4fc7f27d8291f12ccb28a654a0d82372aeb282d28c40921b2bf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01331ba6466e6f450332a014bf03c6539015dcb81a8640ca0de1a9e35215bb62",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-28T13:23:56Z",
    "title_canon_sha256": "f59956f4aef277468f7fde7ec482ecc6bd540a0e05d72e787127576fd47cd2de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.5959",
    "kind": "arxiv",
    "version": 2
  }
}