pith. sign in
Pith Number

pith:PWFJIYEG

pith:2016:PWFJIYEGJ3NG3HRW7LDN2G27HE
not attested not anchored not stored refs pending

Dimension reduction for the full Navier-Stokes-Fourier system

Jan B\v{r}ezina, Ond\v{r}ej Kreml, V\'aclav M\'acha

arxiv:1608.02343 v1 · 2016-08-08 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PWFJIYEGJ3NG3HRW7LDN2G27HE}

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 2026-05-18T00:57:11.190681Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7d8a9460864eda6d9e36fac6dd1b5f391b744273781f58ed811b2cfea8507194

Aliases

arxiv: 1608.02343 · arxiv_version: 1608.02343v1 · doi: 10.48550/arxiv.1608.02343 · pith_short_12: PWFJIYEGJ3NG · pith_short_16: PWFJIYEGJ3NG3HRW · pith_short_8: PWFJIYEG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PWFJIYEGJ3NG3HRW7LDN2G27HE \
  | 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: 7d8a9460864eda6d9e36fac6dd1b5f391b744273781f58ed811b2cfea8507194
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ba54f94ac1a7466c3a5009bbd55b4feb8e50cb28c79e485f0854f240de98a2e3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-08-08T07:59:47Z",
    "title_canon_sha256": "333d1ab5619276759d2689ded0617323857d856bbe063ef54a9be5161a8ef361"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02343",
    "kind": "arxiv",
    "version": 1
  }
}