Pith Number

pith:VSL4SSEV

pith:2025:VSL4SSEVABT5UVLWMCN2ZKJ6UZ

not attested not anchored not stored refs pending

Gradient estimates for Leibenson's equation on Riemannian manifolds

Philipp S\"urig

arxiv:2506.07221 v1 · 2025-06-08 · 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{VSL4SSEVABT5UVLWMCN2ZKJ6UZ}

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

2 papers in Pith

Existence results for Leibenson's equation on Riemannian manifolds

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

Receipt and verification

First computed	2026-07-05T11:18:03.735651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac97c948950067da5576609baca93ea6543f1f84f6c33078906f0614f1847515

Aliases

arxiv: 2506.07221 · arxiv_version: 2506.07221v1 · doi: 10.48550/arxiv.2506.07221 · pith_short_12: VSL4SSEVABT5 · pith_short_16: VSL4SSEVABT5UVLW · pith_short_8: VSL4SSEV

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/VSL4SSEVABT5UVLWMCN2ZKJ6UZ \
  | 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: ac97c948950067da5576609baca93ea6543f1f84f6c33078906f0614f1847515

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d7336477296e2a60786434ca37a0cbffd6177f7d3e25a45b62c955759d3dc0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-08T16:55:40Z",
    "title_canon_sha256": "aaee5a87a3fcd09f0d3d41d4c49734fb2217887e46a66455af75b3d5d8fcdd4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07221",
    "kind": "arxiv",
    "version": 1
  }
}