Pith Number

pith:J4NVASIK

pith:2015:J4NVASIKFU275E6LUP7C3YQUVG

not attested not anchored not stored refs pending

A $L^\infty$ bound for the Cahn--Hilliard equation with relaxed non-smooth free energy

Christian Kahle

arxiv:1511.02618 v1 · 2015-11-09 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4NVASIKFU275E6LUP7C3YQUVG}

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	2026-05-18T01:27:29.785032Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f1b50490a2d35fe93cba3fe2de214a99e85aa32007f2e5676bae11193c72925

Aliases

arxiv: 1511.02618 · arxiv_version: 1511.02618v1 · doi: 10.48550/arxiv.1511.02618 · pith_short_12: J4NVASIKFU27 · pith_short_16: J4NVASIKFU275E6L · pith_short_8: J4NVASIK

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/J4NVASIKFU275E6LUP7C3YQUVG \
  | 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: 4f1b50490a2d35fe93cba3fe2de214a99e85aa32007f2e5676bae11193c72925

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe5a5aa8fa20b2ff3f2d704a4f0003b0899b17a36c1b5416d83da7b83cd56857",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2015-11-09T10:09:18Z",
    "title_canon_sha256": "b9ea15f69105ccaf5237322360ce7fb6f933f8d385c098cb87650fb36095ae33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.02618",
    "kind": "arxiv",
    "version": 1
  }
}