Pith Number

pith:DEDCAVR5

pith:2012:DEDCAVR5WCP2MG2NEAF2EQQ4XY

not attested not anchored not stored refs pending

$L_p$-theory for a Cahn-Hilliard-Gurtin system

Mathias Wilke

arxiv:1203.4391 v1 · 2012-03-20 · 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{DEDCAVR5WCP2MG2NEAF2EQQ4XY}

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	2026-05-18T03:59:39.186478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

190620563db09fa61b4d200ba2421cbe0268aa9c18c08cbe9fecd2c819d56e79

Aliases

arxiv: 1203.4391 · arxiv_version: 1203.4391v1 · doi: 10.48550/arxiv.1203.4391 · pith_short_12: DEDCAVR5WCP2 · pith_short_16: DEDCAVR5WCP2MG2N · pith_short_8: DEDCAVR5

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/DEDCAVR5WCP2MG2NEAF2EQQ4XY \
  | 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: 190620563db09fa61b4d200ba2421cbe0268aa9c18c08cbe9fecd2c819d56e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7470199f3cd4243e26b3402d09ab26c7288659b6b4914b6f95e784391c2cfb5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-03-20T11:11:20Z",
    "title_canon_sha256": "be0abd7c7c635311cb4108c6f525ba34c7c775f009abf86404efbaf2d3a09dfc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4391",
    "kind": "arxiv",
    "version": 1
  }
}