Pith Number

pith:ZZI2DOQN

pith:2020:ZZI2DOQN243XTWFZP5EZPUR7DC

not attested not anchored not stored refs pending

On the Kahler-Ricci flow on Fano manifolds

Bin Guo, Duong H. Phong, Jacob Sturm

arxiv:2001.06329 v1 · 2020-01-17 · 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{ZZI2DOQN243XTWFZP5EZPUR7DC}

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	2026-07-05T00:34:09.086688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce51a1ba0dd73779d8b97f4997d23f18ad3d11c80941f2603ed0253ea5108664

Aliases

arxiv: 2001.06329 · arxiv_version: 2001.06329v1 · doi: 10.48550/arxiv.2001.06329 · pith_short_12: ZZI2DOQN243X · pith_short_16: ZZI2DOQN243XTWFZ · pith_short_8: ZZI2DOQN

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/ZZI2DOQN243XTWFZP5EZPUR7DC \
  | 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: ce51a1ba0dd73779d8b97f4997d23f18ad3d11c80941f2603ed0253ea5108664

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cd12cea44d7ef81bcc42d8b89a27120e230a46786995bc46ac6d284dbf43fb4a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-01-17T14:14:44Z",
    "title_canon_sha256": "44146572685aac7e1674cffa5eb47288ef9cbaba6030c74095eca6935c292b3d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2001.06329",
    "kind": "arxiv",
    "version": 1
  }
}