Pith Number

pith:ZMACI2VP

pith:2015:ZMACI2VPR4LCXN4TCXSIHR5PRV

not attested not anchored not stored refs pending

A degenerating Cahn-Hilliard system coupled with complete damage processes

Christiane Kraus, Christian Heinemann

arxiv:1502.05852 v2 · 2015-02-20 · 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{ZMACI2VPR4LCXN4TCXSIHR5PRV}

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	2026-05-18T01:04:37.883289Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb00246aaf8f162bb79315e483c7af8d5b47175f1236a4bfc6f1d794a9f37268

Aliases

arxiv: 1502.05852 · arxiv_version: 1502.05852v2 · doi: 10.48550/arxiv.1502.05852 · pith_short_12: ZMACI2VPR4LC · pith_short_16: ZMACI2VPR4LCXN4T · pith_short_8: ZMACI2VP

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/ZMACI2VPR4LCXN4TCXSIHR5PRV \
  | 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: cb00246aaf8f162bb79315e483c7af8d5b47175f1236a4bfc6f1d794a9f37268

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b426d31744c641b50ff46d503b3738df045b2bc6ce6987c85f9416fcb8e4541",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-20T12:26:10Z",
    "title_canon_sha256": "046858b625215c49ef43effb40e3b2cf216c322a563f3500c1482a4d688122bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05852",
    "kind": "arxiv",
    "version": 2
  }
}