Pith Number

pith:VODJYRGP

pith:2015:VODJYRGP5YQED3NBJG44CADVOO

not attested not anchored not stored refs pending

Global a priori bounds for weak solutions to quasilinear parabolic equations with nonstandard growth

Patrick Winkert, Rico Zacher

arxiv:1512.04328 v1 · 2015-12-14 · 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{VODJYRGP5YQED3NBJG44CADVOO}

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	2026-05-18T01:24:22.514648Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab869c44cfee2041eda149b9c1007573b7db629724989f10d85de8ba3e85c747

Aliases

arxiv: 1512.04328 · arxiv_version: 1512.04328v1 · doi: 10.48550/arxiv.1512.04328 · pith_short_12: VODJYRGP5YQE · pith_short_16: VODJYRGP5YQED3NB · pith_short_8: VODJYRGP

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/VODJYRGP5YQED3NBJG44CADVOO \
  | 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: ab869c44cfee2041eda149b9c1007573b7db629724989f10d85de8ba3e85c747

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67e0ef946ce7b5e8dc640e807f84e0567b9e0f48540634c59737d1ad0abdba5a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-14T14:11:45Z",
    "title_canon_sha256": "ffb07490d4f76c65ae41a0bdd993c25219cc3c140e6baeffe00fcb8780e155b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.04328",
    "kind": "arxiv",
    "version": 1
  }
}