Pith Number

pith:4UA6QLMN

pith:2021:4UA6QLMNJFXZQJOWT6MV4SEQ7E

not attested not anchored not stored refs pending

Local solutions for nonhomogeneous Navier-Stokes equations with large flux

Joanna Renc{\l}awowicz, Wojciech M. Zaj\k{a}czkowski

arxiv:2111.10182 v3 · 2021-11-19 · 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{4UA6QLMNJFXZQJOWT6MV4SEQ7E}

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	2026-07-05T07:42:14.456758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e501e82d8d496f9825d69f995e4890f913d1fea1e98c49d328c7a07ac0e82627

Aliases

arxiv: 2111.10182 · arxiv_version: 2111.10182v3 · doi: 10.48550/arxiv.2111.10182 · pith_short_12: 4UA6QLMNJFXZ · pith_short_16: 4UA6QLMNJFXZQJOW · pith_short_8: 4UA6QLMN

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/4UA6QLMNJFXZQJOWT6MV4SEQ7E \
  | 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: e501e82d8d496f9825d69f995e4890f913d1fea1e98c49d328c7a07ac0e82627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58d77a28d399a8d5cffc8ebcf21091a5208c3608ece3f77893fd41db3e52bb8d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-11-19T12:32:11Z",
    "title_canon_sha256": "257e23f3388ca0c97a7ea13a4db9339567b87824bd37e28e990f41a0c81046b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.10182",
    "kind": "arxiv",
    "version": 3
  }
}