Pith Number

pith:VHBFIDDR

pith:2012:VHBFIDDRCROWQ2AOO6QJBUDXZC

not attested not anchored not stored refs pending

Convergence of the one-dimensional Cahn-Hilliard equation

Giovanni Bellettini, Lorenzo Bertini, Matteo Novaga, Mauro Mariani

arxiv:1202.1735 v1 · 2012-02-08 · 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{VHBFIDDRCROWQ2AOO6QJBUDXZC}

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	2026-05-18T04:02:51.210375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9c2540c71145d68680e77a090d077c896e89b9fa62a78f4000d41a53b724337

Aliases

arxiv: 1202.1735 · arxiv_version: 1202.1735v1 · doi: 10.48550/arxiv.1202.1735 · pith_short_12: VHBFIDDRCROW · pith_short_16: VHBFIDDRCROWQ2AO · pith_short_8: VHBFIDDR

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/VHBFIDDRCROWQ2AOO6QJBUDXZC \
  | 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: a9c2540c71145d68680e77a090d077c896e89b9fa62a78f4000d41a53b724337

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58642a7d27777493e286d25a9b2570f7067aa9dd1b8ff68b3508e80643614ece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-02-08T15:26:30Z",
    "title_canon_sha256": "28f39013fd8d8b2d487e70b8392b18f4805a4286d0a8051068bb3c943ea24a00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.1735",
    "kind": "arxiv",
    "version": 1
  }
}