Pith Number

pith:67WHLTTA

pith:2019:67WHLTTA44KBSRH55W6JFDLUJB

not attested not anchored not stored refs pending

Stochastic Ricci Flow on Compact Surfaces

Hao Shen, Julien Dub\'edat

arxiv:1904.10909 v2 · 2019-04-24 · math.PR · math-ph · math.DG · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{67WHLTTA44KBSRH55W6JFDLUJB}

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.

Cited by

1 paper in Pith

On the parabolic and hyperbolic Liouville equations

Receipt and verification

First computed	2026-07-05T02:08:58.760350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7ec75ce60e7141944fdedbc928d744862e158c6e565edf5ceff6b93e8930e12

Aliases

arxiv: 1904.10909 · arxiv_version: 1904.10909v2 · doi: 10.48550/arxiv.1904.10909 · pith_short_12: 67WHLTTA44KB · pith_short_16: 67WHLTTA44KBSRH5 · pith_short_8: 67WHLTTA

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/67WHLTTA44KBSRH55W6JFDLUJB \
  | 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: f7ec75ce60e7141944fdedbc928d744862e158c6e565edf5ceff6b93e8930e12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d61eab249be7035edbcd4a47a4f7219e065916a16507bbf4f2e4f7f5cb652678",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-04-24T16:30:42Z",
    "title_canon_sha256": "17f3580d667e0d042e51f1613d951d3cc66f1f8a3ed978d594e7db450f43f94e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10909",
    "kind": "arxiv",
    "version": 2
  }
}