Pith Number

pith:E5OOLQG2

pith:2015:E5OOLQG2FD25PE3KQI76U3T6EF

not attested not anchored not stored refs pending

Local existence of strong solutions to the $k-\varepsilon$ model equations for turbulent flows

Baoquan Yuan, Guoquan Qin

arxiv:1507.03083 v2 · 2015-07-11 · 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{E5OOLQG2FD25PE3KQI76U3T6EF}

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	2026-05-18T01:26:09.952848Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

275ce5c0da28f5d7936a823fea6e7e2179c8436e65a23d298444b0ba58da5857

Aliases

arxiv: 1507.03083 · arxiv_version: 1507.03083v2 · doi: 10.48550/arxiv.1507.03083 · pith_short_12: E5OOLQG2FD25 · pith_short_16: E5OOLQG2FD25PE3K · pith_short_8: E5OOLQG2

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/E5OOLQG2FD25PE3KQI76U3T6EF \
  | 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: 275ce5c0da28f5d7936a823fea6e7e2179c8436e65a23d298444b0ba58da5857

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "86f5ca9bf460b9da05858b09b7f93a3a1211486aa666d247715156c2dae7b73e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-11T09:46:19Z",
    "title_canon_sha256": "0933191b046a136fb39760d0a0749bb272cf034e874867a9849b98045f859ec1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03083",
    "kind": "arxiv",
    "version": 2
  }
}