Pith Number

pith:XCFLH3LT

pith:2013:XCFLH3LTPRXEZ5MYIJWBQ6OW77

not attested not anchored not stored refs pending

Cahn-Hilliard Equation with Nonlocal Singular Free Energies

Helmut Abels, Maurizio Grasselli, Stefano Bosia

arxiv:1311.3642 v1 · 2013-11-14 · 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{XCFLH3LTPRXEZ5MYIJWBQ6OW77}

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	2026-05-18T03:07:04.258208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b88ab3ed737c6e4cf598426c1879d6ffc7049b905ea740352a640cf12014bd40

Aliases

arxiv: 1311.3642 · arxiv_version: 1311.3642v1 · doi: 10.48550/arxiv.1311.3642 · pith_short_12: XCFLH3LTPRXE · pith_short_16: XCFLH3LTPRXEZ5MY · pith_short_8: XCFLH3LT

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/XCFLH3LTPRXEZ5MYIJWBQ6OW77 \
  | 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: b88ab3ed737c6e4cf598426c1879d6ffc7049b905ea740352a640cf12014bd40

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7db3404475383bd375452316b0d56126979d85a24edf03a7fcf96f37241fab72",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-14T20:12:14Z",
    "title_canon_sha256": "bbdd2272ad4a022f6bf9d79f43657c7b180eec3fc0019a69297c3205d1139a0f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.3642",
    "kind": "arxiv",
    "version": 1
  }
}