Pith Number

pith:Z6OG5FH3

pith:2013:Z6OG5FH3T5TCGD7RD3LZ6ORFP6

not attested not anchored not stored refs pending

Attractors for Navier-Stokes flows with multivalued and nonmonotone subdifferential boundary conditions

G. {\L}ukaszewicz, P. Kalita

arxiv:1307.3496 v2 · 2013-07-12 · math.AP · math-ph · math.DS · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6OG5FH3T5TCGD7RD3LZ6ORFP6}

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	2026-05-18T01:32:08.615989Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf9c6e94fb9f66230ff11ed79f3a257fa0a77cd84ceb794277f5e1bd8613e26e

Aliases

arxiv: 1307.3496 · arxiv_version: 1307.3496v2 · doi: 10.48550/arxiv.1307.3496 · pith_short_12: Z6OG5FH3T5TC · pith_short_16: Z6OG5FH3T5TCGD7R · pith_short_8: Z6OG5FH3

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/Z6OG5FH3T5TCGD7RD3LZ6ORFP6 \
  | 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: cf9c6e94fb9f66230ff11ed79f3a257fa0a77cd84ceb794277f5e1bd8613e26e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de272a74b990b6eb8185082e2b7da20cf7ddb8eb21b56ebe2b0dda07ca6fc5ae",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-07-12T15:55:41Z",
    "title_canon_sha256": "ab667f1f4d02dc61ad4bbf577f637bdfd318d788d62f159828f8873504a0e42a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3496",
    "kind": "arxiv",
    "version": 2
  }
}