Pith Number

pith:P7GZ5KZR

pith:2025:P7GZ5KZR6EDQVBH37Q76WOY5SJ

not attested not anchored not stored refs pending

Schauder estimates for parabolic $p$-Laplace systems

Christoph Scheven, Frank Duzaar, Naian Liao, Ugo Gianazza, Verena B\"ogelein

arxiv:2507.15722 v1 · 2025-07-21 · 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{P7GZ5KZR6EDQVBH37Q76WOY5SJ}

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	2026-07-05T11:40:42.762108Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fcd9eab31f1070a84fbfc3feb3b1d924c3b8d4df112d897dd4abef02ee903a5

Aliases

arxiv: 2507.15722 · arxiv_version: 2507.15722v1 · doi: 10.48550/arxiv.2507.15722 · pith_short_12: P7GZ5KZR6EDQ · pith_short_16: P7GZ5KZR6EDQVBH3 · pith_short_8: P7GZ5KZR

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/P7GZ5KZR6EDQVBH37Q76WOY5SJ \
  | 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: 7fcd9eab31f1070a84fbfc3feb3b1d924c3b8d4df112d897dd4abef02ee903a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3d0883fc4486bf2dd1f50bfd2c71e7977b11dc0cf7de2600a8ca0cb58b96efa",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-07-21T15:32:16Z",
    "title_canon_sha256": "7fa2ce9a43aaf3c89169833b53761019af71ac6c5bc9ed646402de9357ee1bc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.15722",
    "kind": "arxiv",
    "version": 1
  }
}