Pith Number

pith:UHSX3DYO

pith:2013:UHSX3DYOU4PZIHBY7M4LEFOZG7

not attested not anchored not stored refs pending

H\"older Regularity For Integro-Differential Equations With Nonlinear Directional Dependence

Marcus Rang, Moritz Kassmann, Russell W. Schwab

arxiv:1306.0082 v1 · 2013-06-01 · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UHSX3DYOU4PZIHBY7M4LEFOZG7}

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	2026-05-18T03:21:56.199047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1e57d8f0ea71f941c38fb38b215d937d082db113562d4a5ae090960ad6aa382

Aliases

arxiv: 1306.0082 · arxiv_version: 1306.0082v1 · doi: 10.48550/arxiv.1306.0082 · pith_short_12: UHSX3DYOU4PZ · pith_short_16: UHSX3DYOU4PZIHBY · pith_short_8: UHSX3DYO

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/UHSX3DYOU4PZIHBY7M4LEFOZG7 \
  | 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: a1e57d8f0ea71f941c38fb38b215d937d082db113562d4a5ae090960ad6aa382

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b7ea0597152f5f3ce4af7f3a75c157e8306d5004efc3f7ff231a9fdffae5643",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-06-01T06:31:35Z",
    "title_canon_sha256": "c372d77e34bc6f53717314f4f5fe988b22f3b3a2520020d21690f648a1420edd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.0082",
    "kind": "arxiv",
    "version": 1
  }
}