Pith Number

pith:CLIRE6JX

pith:2015:CLIRE6JXIRFBSXZUIGKPMVLJZU

not attested not anchored not stored refs pending

Homogenization of random Navier-Stokes-type system for electrorheological fluid

Andrey Piatnitski, Vasily Zhikov

arxiv:1507.06412 v1 · 2015-07-23 · 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{CLIRE6JXIRFBSXZUIGKPMVLJZU}

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	2026-05-18T01:36:25.019529Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12d1127937444a195f344194f65569cd2a2ec9169ea39a73810c0681da1fd77c

Aliases

arxiv: 1507.06412 · arxiv_version: 1507.06412v1 · doi: 10.48550/arxiv.1507.06412 · pith_short_12: CLIRE6JXIRFB · pith_short_16: CLIRE6JXIRFBSXZU · pith_short_8: CLIRE6JX

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/CLIRE6JXIRFBSXZUIGKPMVLJZU \
  | 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: 12d1127937444a195f344194f65569cd2a2ec9169ea39a73810c0681da1fd77c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "adc9a6df2aed5c5e3e57c08a1c6cf012bf65cc50a67bf8ded772545af75d89e2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-07-23T08:48:23Z",
    "title_canon_sha256": "2128c3d9a75372de3169fb2ada9a7c43f1a63b14551768d0ca2a321a56c94c79"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.06412",
    "kind": "arxiv",
    "version": 1
  }
}