Pith Number

pith:P2VJ36VW

pith:2012:P2VJ36VW5E4WXLQ2GW2XNSMUT5

not attested not anchored not stored refs pending

Cahn-Hilliard and Thin Film equations with nonlinear mobility as gradient flows in weighted-Wasserstein metrics

Daniel Matthes, Giuseppe Savar\'e, Stefano Lisini

arxiv:1201.2367 v1 · 2012-01-11 · 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{P2VJ36VW5E4WXLQ2GW2XNSMUT5}

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	2026-05-18T02:42:54.321757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7eaa9dfab6e9396bae1a35b576c9949f46eb12c0eea753274a2b9b6228449c09

Aliases

arxiv: 1201.2367 · arxiv_version: 1201.2367v1 · doi: 10.48550/arxiv.1201.2367 · pith_short_12: P2VJ36VW5E4W · pith_short_16: P2VJ36VW5E4WXLQ2 · pith_short_8: P2VJ36VW

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/P2VJ36VW5E4WXLQ2GW2XNSMUT5 \
  | 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: 7eaa9dfab6e9396bae1a35b576c9949f46eb12c0eea753274a2b9b6228449c09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7b40045c8aa91bc0a434327d4f1ec5f2e00c93249e8f07f611241d928470f34d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-01-11T18:14:58Z",
    "title_canon_sha256": "52312017442d12e47c067734a27e84adf776200356093f9c0028d7e58a18999c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2367",
    "kind": "arxiv",
    "version": 1
  }
}