Pith Number

pith:ETRROA7V

pith:2019:ETRROA7VDES5CNSBFN4LQ5LHKF

not attested not anchored not stored refs pending

The K\"ahler-Ricci flow and quantitative bounds for Donaldson-Futaki invariants of optimal degenerations

Ryosuke Takahashi

arxiv:1909.02452 v3 · 2019-09-05 · 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{ETRROA7VDES5CNSBFN4LQ5LHKF}

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	2026-07-05T00:34:02.438933Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

24e31703f51925d136412b78b87567516eba62eca926bfac42ce91510bf78a2e

Aliases

arxiv: 1909.02452 · arxiv_version: 1909.02452v3 · doi: 10.48550/arxiv.1909.02452 · pith_short_12: ETRROA7VDES5 · pith_short_16: ETRROA7VDES5CNSB · pith_short_8: ETRROA7V

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/ETRROA7VDES5CNSBFN4LQ5LHKF \
  | 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: 24e31703f51925d136412b78b87567516eba62eca926bfac42ce91510bf78a2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f969aa86c46844a709d9f662c5bd65015fa197390a47d321de213321fc4dc28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-09-05T14:35:59Z",
    "title_canon_sha256": "6dfb19545a4c529390953bfdf8bd8034325f9e8f9b35bc5d561732829aacf658"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.02452",
    "kind": "arxiv",
    "version": 3
  }
}