Pith Number

pith:PAWQMS6C

pith:2019:PAWQMS6CR2XSCIUILDTH4BUABH

not attested not anchored not stored refs pending

Symmetry of constrained minimizers of the Cahn-Hilliard energy on the torus

Alfred Wagner, Maria G. Westdickenberg, Michael Gelantalis

arxiv:1907.08112 v1 · 2019-07-18 · 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{PAWQMS6CR2XSCIUILDTH4BUABH}

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	2026-05-17T23:40:15.086208Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

782d064bc28eaf21228858e67e068009cb53d2f9d197d6da6563853fa0de6c8c

Aliases

arxiv: 1907.08112 · arxiv_version: 1907.08112v1 · doi: 10.48550/arxiv.1907.08112 · pith_short_12: PAWQMS6CR2XS · pith_short_16: PAWQMS6CR2XSCIUI · pith_short_8: PAWQMS6C

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/PAWQMS6CR2XSCIUILDTH4BUABH \
  | 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: 782d064bc28eaf21228858e67e068009cb53d2f9d197d6da6563853fa0de6c8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ecb4c15d49c0f98cc3fa0799197d45e35c22dffdf545766ac21585538bd12b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-07-18T15:26:51Z",
    "title_canon_sha256": "850cae54102ba66003b287121c1d54e3bec8bf1f5c9d7eaac3399c8f380f5b4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.08112",
    "kind": "arxiv",
    "version": 1
  }
}