Pith Number

pith:XVAIPDBN

pith:2015:XVAIPDBNUOT3R47QPW76XY6I4W

not attested not anchored not stored refs pending

Regularity Criterion to the axially symmetric Navier-Stokes Equations

Dongyi Wei

arxiv:1508.03318 v1 · 2015-08-13 · 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{XVAIPDBNUOT3R47QPW76XY6I4W}

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	2026-05-18T01:35:21.107297Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd40878c2da3a7b8f3f07dbfebe3c8e5ab15222af24a1b217780218c7ebb18a5

Aliases

arxiv: 1508.03318 · arxiv_version: 1508.03318v1 · doi: 10.48550/arxiv.1508.03318 · pith_short_12: XVAIPDBNUOT3 · pith_short_16: XVAIPDBNUOT3R47Q · pith_short_8: XVAIPDBN

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/XVAIPDBNUOT3R47QPW76XY6I4W \
  | 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: bd40878c2da3a7b8f3f07dbfebe3c8e5ab15222af24a1b217780218c7ebb18a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "69c0f1f63c4697488b07ce1567efcb2483af2af8d16619c4cbb8de6c719c7853",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-08-13T19:38:13Z",
    "title_canon_sha256": "ab8d8f5a2757712e0780f179bd51720c552a46ac447b29402036409e38abca91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.03318",
    "kind": "arxiv",
    "version": 1
  }
}