Pith Number

pith:CCOQO4FF

pith:2013:CCOQO4FFDBQG3BY5DEEZD2JKOQ

not attested not anchored not stored refs pending

Reductions of the Navier-Stokes-Allen-Cahn and the Navier-Stokes-Cahn-Hilliard equations

Heinrich Freistuhler, Matthias Kotschote

arxiv:1311.0125 v1 · 2013-11-01 · 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{CCOQO4FFDBQG3BY5DEEZD2JKOQ}

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	2026-05-18T03:08:15.481610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

109d0770a518606d871d190991e92a7409eb0bb9c4ddf7611324fba925ecb182

Aliases

arxiv: 1311.0125 · arxiv_version: 1311.0125v1 · doi: 10.48550/arxiv.1311.0125 · pith_short_12: CCOQO4FFDBQG · pith_short_16: CCOQO4FFDBQG3BY5 · pith_short_8: CCOQO4FF

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/CCOQO4FFDBQG3BY5DEEZD2JKOQ \
  | 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: 109d0770a518606d871d190991e92a7409eb0bb9c4ddf7611324fba925ecb182

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7906534dfd1d904c996c87d4442e205d2f0eec537b493bb293aaa0b7d4ee8108",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-11-01T09:19:30Z",
    "title_canon_sha256": "257fc26cdc8054b44aa4fa2590a5aef4138a3042bdb122e5363d078d5998daee"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0125",
    "kind": "arxiv",
    "version": 1
  }
}