Pith Number

pith:XPZZRMYD

pith:2018:XPZZRMYDZ7QLY6YZWBCN6HK5UC

not attested not anchored not stored refs pending

Lipschitz regularity for orthotropic functionals with nonstandard growth conditions

Lorenzo Brasco, Pierre Bousquet

arxiv:1810.03837 v1 · 2018-10-09 · math.AP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPZZRMYDZ7QLY6YZWBCN6HK5UC}

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	2026-05-18T00:03:44.423845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbf398b303cfe0bc7b19b044df1d5da0b4bac53b489ce7e0bba4757cbdd20bdc

Aliases

arxiv: 1810.03837 · arxiv_version: 1810.03837v1 · doi: 10.48550/arxiv.1810.03837 · pith_short_12: XPZZRMYDZ7QL · pith_short_16: XPZZRMYDZ7QLY6YZ · pith_short_8: XPZZRMYD

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/XPZZRMYDZ7QLY6YZWBCN6HK5UC \
  | 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: bbf398b303cfe0bc7b19b044df1d5da0b4bac53b489ce7e0bba4757cbdd20bdc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc2f3f141d7d8316c970428d68ffad413ca2bc48c3994fa0aa11445f39962c01",
    "cross_cats_sorted": [
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-09T07:30:03Z",
    "title_canon_sha256": "06e316ae72f61415cbc2339f32fc10d6690f6283ac0205e722cdff39352a21cb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.03837",
    "kind": "arxiv",
    "version": 1
  }
}