Pith Number

pith:WI4BX4BG

pith:2013:WI4BX4BGCOUGUQCRXXSS4AKQRC

not attested not anchored not stored refs pending

A Hilbert expansions method for the rigorous sharp interface limit of the generalized Cahn-Hilliard Equation

D.C. Antonopoulou, E. Orlandi, G.D. Karali

arxiv:1301.0909 v1 · 2013-01-05 · math.AP · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WI4BX4BGCOUGUQCRXXSS4AKQRC}

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	2026-05-18T03:37:07.413809Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2381bf02613a86a4051bde52e015088a0945a5c1ced80c44c2463daf4c7ffe5

Aliases

arxiv: 1301.0909 · arxiv_version: 1301.0909v1 · doi: 10.48550/arxiv.1301.0909 · pith_short_12: WI4BX4BGCOUG · pith_short_16: WI4BX4BGCOUGUQCR · pith_short_8: WI4BX4BG

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/WI4BX4BGCOUGUQCRXXSS4AKQRC \
  | 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: b2381bf02613a86a4051bde52e015088a0945a5c1ced80c44c2463daf4c7ffe5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07f1dbb011808947ebe190fe2033684a44c86cfa5459ebff806665ec127cdb52",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-01-05T15:16:15Z",
    "title_canon_sha256": "5b2f377003cec869518a542d07b429ddba7aea9e209c1168a426f3ea450def15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0909",
    "kind": "arxiv",
    "version": 1
  }
}