Pith Number

pith:BFNGHQ2Y

pith:2018:BFNGHQ2Y5W4QL2PI7GYUAPRH7N

not attested not anchored not stored refs pending

Optimal $L^1$-type relaxation rates for the Cahn-Hilliard equation on the line

Felix Otto, Maria G. Westdickenberg, Sebastian Scholtes

arxiv:1806.02519 v2 · 2018-06-07 · 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{BFNGHQ2Y5W4QL2PI7GYUAPRH7N}

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	2026-05-17T23:41:01.279581Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

095a63c358edb905e9e8f9b1403e27fb503429ec0263a5fa0a7ea91a1ebf9db0

Aliases

arxiv: 1806.02519 · arxiv_version: 1806.02519v2 · doi: 10.48550/arxiv.1806.02519 · pith_short_12: BFNGHQ2Y5W4Q · pith_short_16: BFNGHQ2Y5W4QL2PI · pith_short_8: BFNGHQ2Y

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/BFNGHQ2Y5W4QL2PI7GYUAPRH7N \
  | 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: 095a63c358edb905e9e8f9b1403e27fb503429ec0263a5fa0a7ea91a1ebf9db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1001ab95ae270de6dcead8f50e27d7412e1196737c24e9a44841ad8e9ee00d00",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-06-07T05:49:06Z",
    "title_canon_sha256": "e51014eaa861ae4d2780e6bc595cfe765d303543d5de19a642ab090afa1c2979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1806.02519",
    "kind": "arxiv",
    "version": 2
  }
}