Pith Number

pith:LENEKGSZ

pith:2018:LENEKGSZLIPAMKET5XJ6VU5JCQ

not attested not anchored not stored refs pending

Logarithmic estimates for continuity equations

Gianluca Crippa, Maria Colombo, Stefano Spirito

arxiv:1811.02463 v1 · 2018-11-05 · 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{LENEKGSZLIPAMKET5XJ6VU5JCQ}

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	2026-05-18T00:01:24.217560Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591a451a595a1e062893edd3ead3a9142701bc32b654bcc91c9a0963e4615b7d

Aliases

arxiv: 1811.02463 · arxiv_version: 1811.02463v1 · doi: 10.48550/arxiv.1811.02463 · pith_short_12: LENEKGSZLIPA · pith_short_16: LENEKGSZLIPAMKET · pith_short_8: LENEKGSZ

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/LENEKGSZLIPAMKET5XJ6VU5JCQ \
  | 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: 591a451a595a1e062893edd3ead3a9142701bc32b654bcc91c9a0963e4615b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4119dfa596485350b9e7b0dcb654c25babe11dfe428ca5e45d4605d17ef47ba9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-11-05T09:02:10Z",
    "title_canon_sha256": "7f83168f770e9e02397bf56fa22c9b33f558cf2054870664857cf9f1d7232869"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.02463",
    "kind": "arxiv",
    "version": 1
  }
}