Pith Number

pith:6Q2H5BH4

pith:2016:6Q2H5BH4WIRUD3MWZBF4MMUJQ6

not attested not anchored not stored refs pending

Stabilizing the Long-time Behavior of the Navier-Stokes Equations and Damped Euler Systems by Fast Oscillating Forces

Edriss S Titi, Jacek Cyranka, Piotr B Mucha, Piotr Zgliczy\'nski

arxiv:1601.04612 v1 · 2016-01-18 · 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{6Q2H5BH4WIRUD3MWZBF4MMUJQ6}

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	2026-05-18T01:22:44.622904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4347e84fcb22341ed96c84bc63289879bff13da9f1595b7d09a0363ae8f59b5

Aliases

arxiv: 1601.04612 · arxiv_version: 1601.04612v1 · doi: 10.48550/arxiv.1601.04612 · pith_short_12: 6Q2H5BH4WIRU · pith_short_16: 6Q2H5BH4WIRUD3MW · pith_short_8: 6Q2H5BH4

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/6Q2H5BH4WIRUD3MWZBF4MMUJQ6 \
  | 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: f4347e84fcb22341ed96c84bc63289879bff13da9f1595b7d09a0363ae8f59b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37e884730268a04ddc7e51485fc26de9b67ead1cede2e661d03c53dc3686a0b0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-01-18T17:12:08Z",
    "title_canon_sha256": "c93f66d361490b9257d365e09d6d449bbc039e6b1928c5e1191b48a83df20d8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04612",
    "kind": "arxiv",
    "version": 1
  }
}