Pith Number

pith:5HNXMYCD

pith:2025:5HNXMYCDKYSYDG3RNMY7X33BLU

not attested not anchored not stored refs pending

The Leibenson process

Marco Rehmeier, Michael R\"ockner, Sebastian Grube, Viorel Barbu

arxiv:2508.12979 v1 · 2025-08-18 · math.PR · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5HNXMYCDKYSYDG3RNMY7X33BLU}

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

4 papers in Pith

Brownian motion in Minkowski normed spaces

Existence results for Leibenson's equation on Riemannian manifolds

Non-uniqueness of nonlinear Markov processes in the sense of McKean associated with parabolic PDEs

Long time upper bounds for solutions of Leibenson's equation on Riemannian manifolds

Receipt and verification

First computed	2026-07-05T11:55:30.273913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e9db7660435625819b716b31fbef615d350e5636b0927155ad4aef07feac5ed6

Aliases

arxiv: 2508.12979 · arxiv_version: 2508.12979v1 · doi: 10.48550/arxiv.2508.12979 · pith_short_12: 5HNXMYCDKYSY · pith_short_16: 5HNXMYCDKYSYDG3R · pith_short_8: 5HNXMYCD

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/5HNXMYCDKYSYDG3RNMY7X33BLU \
  | 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: e9db7660435625819b716b31fbef615d350e5636b0927155ad4aef07feac5ed6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80d686e43ec2d34a2edd29a2b86ddb385d22c47ff72021763ee666ece97bcfc8",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2025-08-18T14:54:08Z",
    "title_canon_sha256": "5d514ae42ae817a33a150c1ed51905ea19ea961bde3ac6d5407d5abf30f1a27c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.12979",
    "kind": "arxiv",
    "version": 1
  }
}