Pith Number

pith:I2R6K5VV

pith:2018:I2R6K5VVUUCR6KOBEUWMVOS7PN

not attested not anchored not stored refs pending

Muliti-scale regularity of axisymmetric Navier-Stokes equations

Daoyuan Fang, Hui Chen, Ting Zhang

arxiv:1802.08956 v1 · 2018-02-25 · 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{I2R6K5VVUUCR6KOBEUWMVOS7PN}

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	2026-05-18T00:22:35.940367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46a3e576b5a5051f29c1252ccaba5f7b5c40f8811a1205d472ecb892948fb730

Aliases

arxiv: 1802.08956 · arxiv_version: 1802.08956v1 · doi: 10.48550/arxiv.1802.08956 · pith_short_12: I2R6K5VVUUCR · pith_short_16: I2R6K5VVUUCR6KOB · pith_short_8: I2R6K5VV

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/I2R6K5VVUUCR6KOBEUWMVOS7PN \
  | 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: 46a3e576b5a5051f29c1252ccaba5f7b5c40f8811a1205d472ecb892948fb730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a83439a9619dd44f57c4a697c21576d1da3f5f73e088fdf730db0ebb3d2a609",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-02-25T05:27:07Z",
    "title_canon_sha256": "81aa20b20e1b503a7bed32cf95fe7a3cb9d8885120673c09c15c5b5022cc2443"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.08956",
    "kind": "arxiv",
    "version": 1
  }
}