Pith Number

pith:4HDWYWZB

pith:2018:4HDWYWZBQHIRTPQ7F777CXLUKX

not attested not anchored not stored refs pending

Upper-semicontinuity of the global attractors for a class of nonlocal Cahn-Hilliard equations

Joseph L. Shomberg

arxiv:1805.06320 v1 · 2018-05-15 · 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{4HDWYWZBQHIRTPQ7F777CXLUKX}

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	2026-05-18T00:15:48.098910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e1c76c5b2181d119be1f2ffff15d7455eec5abe65d468f0a253ea7e21964f8c6

Aliases

arxiv: 1805.06320 · arxiv_version: 1805.06320v1 · doi: 10.48550/arxiv.1805.06320 · pith_short_12: 4HDWYWZBQHIR · pith_short_16: 4HDWYWZBQHIRTPQ7 · pith_short_8: 4HDWYWZB

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/4HDWYWZBQHIRTPQ7F777CXLUKX \
  | 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: e1c76c5b2181d119be1f2ffff15d7455eec5abe65d468f0a253ea7e21964f8c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d12dc31e2b82797c59668138c9b2daf642c0768f04f76b9f76cec19a3a135a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-05-15T12:46:40Z",
    "title_canon_sha256": "e5f5b67f14d6244b8cd6b94155223e856dbff4095c5899daa1333e02299049f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.06320",
    "kind": "arxiv",
    "version": 1
  }
}