Pith Number

pith:ZFJJHNG3

pith:2017:ZFJJHNG3FHGP66BFARFKTZ53HZ

not attested not anchored not stored refs pending

Coupled Self-Organized Hydrodynamics and Navier-Stokes models: local well-posedness and the limit from the Self-Organized Kinetic-fluid models

Ning Jiang, Teng-Fei Zhang, Yi-Long Luo

arxiv:1712.10134 v2 · 2017-12-29 · 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{ZFJJHNG3FHGP66BFARFKTZ53HZ}

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	2026-07-05T01:21:44.641336Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c95293b4db29ccff7825044aa9e7bb3e7f6e8f15e388e44618423b8a2cee9abd

Aliases

arxiv: 1712.10134 · arxiv_version: 1712.10134v2 · doi: 10.48550/arxiv.1712.10134 · pith_short_12: ZFJJHNG3FHGP · pith_short_16: ZFJJHNG3FHGP66BF · pith_short_8: ZFJJHNG3

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/ZFJJHNG3FHGP66BFARFKTZ53HZ \
  | 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: c95293b4db29ccff7825044aa9e7bb3e7f6e8f15e388e44618423b8a2cee9abd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0ea6131c034363f9a7cf15d6b18d0fe02f9ef3a11341d6b92d264fcd1c621d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-29T07:21:27Z",
    "title_canon_sha256": "b93b9be1f21e28badef0c3cd9f6251488243de42b65ecc5207332c84f9c38617"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.10134",
    "kind": "arxiv",
    "version": 2
  }
}