Pith Number

pith:U66OAV7F

pith:2016:U66OAV7FQZXG52ED4RLIDGKGX3

not attested not anchored not stored refs pending

The local boundedness of gradients of weak solutions to elliptic and parabolic phi-Laplacian systems

Toni Scharle

arxiv:1603.04715 v1 · 2016-03-15 · 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{U66OAV7FQZXG52ED4RLIDGKGX3}

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	2026-05-18T01:19:04.137556Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7bce057e5866e6ee883e456819946beee2f0cf4eecee1946507d5696f3cfa12

Aliases

arxiv: 1603.04715 · arxiv_version: 1603.04715v1 · doi: 10.48550/arxiv.1603.04715 · pith_short_12: U66OAV7FQZXG · pith_short_16: U66OAV7FQZXG52ED · pith_short_8: U66OAV7F

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/U66OAV7FQZXG52ED4RLIDGKGX3 \
  | 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: a7bce057e5866e6ee883e456819946beee2f0cf4eecee1946507d5696f3cfa12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25440d82e7bae910b01f0ab39b54c89e05fa749c5354e60efd14e0ee54252c19",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-03-15T15:06:20Z",
    "title_canon_sha256": "fef7399960ac65b3d7bc1d892fe84be81e1c5d576e49663eafbfb175890419b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04715",
    "kind": "arxiv",
    "version": 1
  }
}