Pith Number

pith:HHQCJCYC

pith:2023:HHQCJCYC5MG4C42EI4JWCGZHS6

not attested not anchored not stored refs pending

Free boundary regularity of vacuum states for incompressible viscous flows in unbounded domains

Christophe Prange, Jin Tan

arxiv:2310.09288 v3 · 2023-10-13 · 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{HHQCJCYC5MG4C42EI4JWCGZHS6}

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.

Cited by

1 paper in Pith

On Lions' density patch problem at a critical level of regularity

Receipt and verification

First computed	2026-07-05T07:38:31.608195Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

39e0248b02eb0dc173444713611b2797bfaa1083a4ccd9fea919abd1af2817a1

Aliases

arxiv: 2310.09288 · arxiv_version: 2310.09288v3 · doi: 10.48550/arxiv.2310.09288 · pith_short_12: HHQCJCYC5MG4 · pith_short_16: HHQCJCYC5MG4C42E · pith_short_8: HHQCJCYC

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/HHQCJCYC5MG4C42EI4JWCGZHS6 \
  | 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: 39e0248b02eb0dc173444713611b2797bfaa1083a4ccd9fea919abd1af2817a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "367c4e25e758d467b01e4ed32b89edb4cee8ae25261d50df1bb8f25f7863d51f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-10-13T17:56:57Z",
    "title_canon_sha256": "4e835d2fe29d07b0f810ba377a65e29fb57918e7355db5d67b3d491bb8cc1bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.09288",
    "kind": "arxiv",
    "version": 3
  }
}