Pith Number

pith:PRQ43X4U

pith:2018:PRQ43X4U5VSWT5FAOBJFH2FO77

not attested not anchored not stored refs pending

A minimum problem with free boundary and subcritical growth in Orlicz spaces

Claudianor O. Alves, Jun Zheng, Leandro S. Tavares

arxiv:1809.08518 v2 · 2018-09-23 · 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{PRQ43X4U5VSWT5FAOBJFH2FO77}

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	2026-05-18T00:00:34.742745Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c61cddf94ed6569f4a0705253e8aeffe508201a4636c659682fd43e00b30779

Aliases

arxiv: 1809.08518 · arxiv_version: 1809.08518v2 · doi: 10.48550/arxiv.1809.08518 · pith_short_12: PRQ43X4U5VSW · pith_short_16: PRQ43X4U5VSWT5FA · pith_short_8: PRQ43X4U

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/PRQ43X4U5VSWT5FAOBJFH2FO77 \
  | 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: 7c61cddf94ed6569f4a0705253e8aeffe508201a4636c659682fd43e00b30779

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ecd534914adeca812e86dac7c60b3bfcb6ee39a9bcfd014a6bf6f3fef2f24829",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-23T02:50:18Z",
    "title_canon_sha256": "9ce2d3f081c730a943b2004875edefcc74aebf105c63b4e563de0a8e69d00325"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.08518",
    "kind": "arxiv",
    "version": 2
  }
}