Pith Number

pith:2GWQGQXA

pith:2015:2GWQGQXAK2B2QREEV7ELXARRWJ

not attested not anchored not stored refs pending

Existence of weak solutions for Cahn-Hilliard systems coupled with elasticity and damage

Christiane Kraus, Christian Heinemann

arxiv:1502.05826 v1 · 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{2GWQGQXAK2B2QREEV7ELXARRWJ}

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	2026-05-18T02:26:44.693405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1ad0342e05683a84484afc8bb8231b2675a8b0b29aecdce8743212d573db0b5

Aliases

arxiv: 1502.05826 · arxiv_version: 1502.05826v1 · doi: 10.48550/arxiv.1502.05826 · pith_short_12: 2GWQGQXAK2B2 · pith_short_16: 2GWQGQXAK2B2QREE · pith_short_8: 2GWQGQXA

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/2GWQGQXAK2B2QREEV7ELXARRWJ \
  | 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: d1ad0342e05683a84484afc8bb8231b2675a8b0b29aecdce8743212d573db0b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e5c72606fac449dcd9f0905119aa7ba751efc21bb9fe30c6f62775c08e929e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-20T10:46:50Z",
    "title_canon_sha256": "5e3e94312dd1697fef2e7abe70eb2101fcdf5d33a8f3c8d59144a657bb4e27a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.05826",
    "kind": "arxiv",
    "version": 1
  }
}