Pith Number

pith:PDNBXW2C

pith:2017:PDNBXW2CYUTHSYN42AZSOPHXJJ

not attested not anchored not stored refs pending

Forward self-similar solutions of the fractional Navier-Stokes Equations

Baishun Lai, Changxing Miao, Xiaoxin Zheng

arxiv:1710.08041 v2 · 2017-10-22 · 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{PDNBXW2CYUTHSYN42AZSOPHXJJ}

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	2026-05-17T23:42:08.933590Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78da1bdb42c5267961bcd033273cf74a4420f54c493f55d0ea95cdba0b49efb9

Aliases

arxiv: 1710.08041 · arxiv_version: 1710.08041v2 · doi: 10.48550/arxiv.1710.08041 · pith_short_12: PDNBXW2CYUTH · pith_short_16: PDNBXW2CYUTHSYN4 · pith_short_8: PDNBXW2C

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/PDNBXW2CYUTHSYN42AZSOPHXJJ \
  | 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: 78da1bdb42c5267961bcd033273cf74a4420f54c493f55d0ea95cdba0b49efb9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fae48ac77260cef8713776766b0c489cb899bd5ce23767cd74a162c95f663264",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-10-22T23:51:04Z",
    "title_canon_sha256": "d397770b34dbcf7fbfac7b35da06f104294dc49226a8ece3382fbbff1972623b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.08041",
    "kind": "arxiv",
    "version": 2
  }
}