Pith Number

pith:KNY7VYDW

pith:2011:KNY7VYDWL76EHI7ZE5KEIWPNJ4

not attested not anchored not stored refs pending

2D Phase Diagram for Minimizers of a Cahn-Hilliard Functional with Long-Range Interactions

J.F. Williams, Mirjana Maras, Rustum Choksi

arxiv:1103.2964 v1 · 2011-03-15 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNY7VYDWL76EHI7ZE5KEIWPNJ4}

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	2026-05-18T04:26:46.130804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5371fae0765ffc43a3f927544459ed4f118bad775d6da9a364235414480e842e

Aliases

arxiv: 1103.2964 · arxiv_version: 1103.2964v1 · doi: 10.48550/arxiv.1103.2964 · pith_short_12: KNY7VYDWL76E · pith_short_16: KNY7VYDWL76EHI7Z · pith_short_8: KNY7VYDW

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/KNY7VYDWL76EHI7ZE5KEIWPNJ4 \
  | 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: 5371fae0765ffc43a3f927544459ed4f118bad775d6da9a364235414480e842e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2ff6a4799512547b804bff6993cb5a14181f797b675978d156adf4b688e3153",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-03-15T17:21:00Z",
    "title_canon_sha256": "4f65228b65d36e9f97c50d3d81dd07eed6eb33d89d8268e4e79c4e8c6a96cd2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2964",
    "kind": "arxiv",
    "version": 1
  }
}