Pith Number

pith:KXHXJSJL

pith:2012:KXHXJSJLXRUULTWV436AUP7YXA

not attested not anchored not stored refs pending

Behavior of periodic solutions of viscous conservation laws under localized and nonlocalized perturbations

Kevin Zumbrun, L.Miguel Rodrigues, Mathew A. Johnson, Pascal Noble

arxiv:1211.2156 v1 · 2012-11-09 · 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{KXHXJSJLXRUULTWV436AUP7YXA}

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	2026-05-18T03:41:11.562670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55cf74c92bbc6945ced5e6fc0a3ff8b839b39d30aef4eab383a66ff96ef76864

Aliases

arxiv: 1211.2156 · arxiv_version: 1211.2156v1 · doi: 10.48550/arxiv.1211.2156 · pith_short_12: KXHXJSJLXRUU · pith_short_16: KXHXJSJLXRUULTWV · pith_short_8: KXHXJSJL

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/KXHXJSJLXRUULTWV436AUP7YXA \
  | 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: 55cf74c92bbc6945ced5e6fc0a3ff8b839b39d30aef4eab383a66ff96ef76864

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72aac782336c84745c7f41eda0094958177afe8b7b0fd37e0657bd78d6a9d70f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-11-09T15:14:22Z",
    "title_canon_sha256": "8ce4135682430d99c7e4f1ffa7b0801c5a50fc9e99b125e0737df59fc1169df9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2156",
    "kind": "arxiv",
    "version": 1
  }
}