Pith Number

pith:NLJB4U7W

pith:2016:NLJB4U7WKCBL65UOXQ2QLJDQWK

not attested not anchored not stored refs pending

The uniform time of existence of the smooth solution for 3D Euler-$\alpha$ equations with Dirichlet boundary conditions

Aibin Zang

arxiv:1604.04083 v2 · 2016-04-14 · 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{NLJB4U7WKCBL65UOXQ2QLJDQWK}

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	2026-05-18T01:16:59.139515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ad21e53f65082bf768ebc3505a470b2860f74fe01644fa33d2b382dc7cf9dde

Aliases

arxiv: 1604.04083 · arxiv_version: 1604.04083v2 · doi: 10.48550/arxiv.1604.04083 · pith_short_12: NLJB4U7WKCBL · pith_short_16: NLJB4U7WKCBL65UO · pith_short_8: NLJB4U7W

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/NLJB4U7WKCBL65UOXQ2QLJDQWK \
  | 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: 6ad21e53f65082bf768ebc3505a470b2860f74fe01644fa33d2b382dc7cf9dde

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a1247eed77656d715fa20c800f26b45c807ef2af57014120c4b14e1a383109d9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-04-14T09:11:38Z",
    "title_canon_sha256": "17bd075292e4ef33d6ae832e58f8d0be21c3273f2a328e77fc49c4c6e6444ed7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04083",
    "kind": "arxiv",
    "version": 2
  }
}