Pith Number

pith:RENR5VDS

pith:2022:RENR5VDSTQFY7EGR47T227TLLT

not attested not anchored not stored refs pending

Global weak solutions to the compressible Cucker-Smale-Navier-Stokes system in a bounded domain

Li Chen, Nicola Zamponi, Yue Li

arxiv:2204.01463 v2 · 2022-04-04 · 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{RENR5VDSTQFY7EGR47T227TLLT}

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	2026-07-05T05:22:06.987677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

891b1ed4729c0b8f90d1e7e7ad7e6b5cdfbae36ec4198b9cf2302e1ce24c68c0

Aliases

arxiv: 2204.01463 · arxiv_version: 2204.01463v2 · doi: 10.48550/arxiv.2204.01463 · pith_short_12: RENR5VDSTQFY · pith_short_16: RENR5VDSTQFY7EGR · pith_short_8: RENR5VDS

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/RENR5VDSTQFY7EGR47T227TLLT \
  | 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: 891b1ed4729c0b8f90d1e7e7ad7e6b5cdfbae36ec4198b9cf2302e1ce24c68c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e775de0ceffeb8f37c7137fa5ec9f6a5a2116107600a8505c01f168c272be777",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2022-04-04T13:25:05Z",
    "title_canon_sha256": "2673f05b8e9fe45526040f002a92d2b2069a8fdb16395638c3d7363374dfe8b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2204.01463",
    "kind": "arxiv",
    "version": 2
  }
}