Pith Number

pith:42YGAI2F

pith:2019:42YGAI2FXSTYIXZYOTM6E5U3YZ

not attested not anchored not stored refs pending

K\"ahler-Ricci flow on horospherical manifold

Fran\c{c}ois Delgove

arxiv:1907.07112 v1 · 2019-07-15 · 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{42YGAI2FXSTYIXZYOTM6E5U3YZ}

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	2026-05-17T23:40:28.040087Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6b0602345bca7845f3874d9e2769bc66db65dd309d84a095f2fa955f53ebbc7

Aliases

arxiv: 1907.07112 · arxiv_version: 1907.07112v1 · doi: 10.48550/arxiv.1907.07112 · pith_short_12: 42YGAI2FXSTY · pith_short_16: 42YGAI2FXSTYIXZY · pith_short_8: 42YGAI2F

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/42YGAI2FXSTYIXZYOTM6E5U3YZ \
  | 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: e6b0602345bca7845f3874d9e2769bc66db65dd309d84a095f2fa955f53ebbc7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c2d1b0efddd57d0e470737f0096592e97ccf8a119c59666db484e6504f8c162",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-07-15T07:35:04Z",
    "title_canon_sha256": "b0f87e8baf3de94f9a9a7436e62b6a3f9697e38cd924fcea48af008a7af7b80b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.07112",
    "kind": "arxiv",
    "version": 1
  }
}