Pith Number

pith:CR6N5GHA

pith:2014:CR6N5GHAAJ7JZL73NZIBMMMKKL

not attested not anchored not stored refs pending

Renormalized solutions to the continuity equation with an integrable damping term

Gianluca Crippa, Maria Colombo, Stefano Spirito

arxiv:1411.0451 v1 · 2014-11-03 · 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{CR6N5GHAAJ7JZL73NZIBMMMKKL}

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	2026-05-18T02:38:45.464273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

147cde98e0027e9caffb6e5016318a52c0c6337e9fc1a76c6b2b3cdce40cbd2f

Aliases

arxiv: 1411.0451 · arxiv_version: 1411.0451v1 · doi: 10.48550/arxiv.1411.0451 · pith_short_12: CR6N5GHAAJ7J · pith_short_16: CR6N5GHAAJ7JZL73 · pith_short_8: CR6N5GHA

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/CR6N5GHAAJ7JZL73NZIBMMMKKL \
  | 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: 147cde98e0027e9caffb6e5016318a52c0c6337e9fc1a76c6b2b3cdce40cbd2f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "886c073524e91e404a36081f38db74932875ed05cec9f69ba2271b644a8dad37",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2014-11-03T12:18:45Z",
    "title_canon_sha256": "385cd9cf01f8f97e0f2995b45472d39d12ad10813c538222dbc6be0d2ce868db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.0451",
    "kind": "arxiv",
    "version": 1
  }
}