Pith Number

pith:Q2IQ27U5

pith:2019:Q2IQ27U5RJK53NY7N52BGGLCRN

not attested not anchored not stored refs pending

Sobolev estimates for solutions of the transport equation and ODE flows associated to non-Lipschitz drifts

Elia Bru\`e, Quoc-Hung Nguyen

arxiv:1905.02995 v1 · 2019-05-08 · 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{Q2IQ27U5RJK53NY7N52BGGLCRN}

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	2026-05-17T23:46:43.208123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86910d7e9d8a55ddb71f6f741319628b46a83ddcc11fb2b0ce21608be31f4bf2

Aliases

arxiv: 1905.02995 · arxiv_version: 1905.02995v1 · doi: 10.48550/arxiv.1905.02995 · pith_short_12: Q2IQ27U5RJK5 · pith_short_16: Q2IQ27U5RJK53NY7 · pith_short_8: Q2IQ27U5

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/Q2IQ27U5RJK53NY7N52BGGLCRN \
  | 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: 86910d7e9d8a55ddb71f6f741319628b46a83ddcc11fb2b0ce21608be31f4bf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de2cd346874b87140c76edcd2a8907c6039516d1c7f4aa0dea19e420336ad632",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-05-08T10:16:11Z",
    "title_canon_sha256": "1c3b42fb3c1eb7127203f79fe660e000076d4348b699d05f976ccf1a77da81e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.02995",
    "kind": "arxiv",
    "version": 1
  }
}