Pith Number

pith:XMMLCRT3

pith:2015:XMMLCRT3WPVHI3OREH55TC3YIP

not attested not anchored not stored refs pending

From Burgers to Navier-Stokes turbulence

K.P.Zybin

arxiv:1512.06558 v1 · 2015-12-21 · physics.flu-dyn

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XMMLCRT3WPVHI3OREH55TC3YIP}

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	2026-05-18T01:24:00.213542Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb18b1467bb3ea746dd121fbd98b7843f3c2b90ac3c99f6cf48a5729dd24c915

Aliases

arxiv: 1512.06558 · arxiv_version: 1512.06558v1 · doi: 10.48550/arxiv.1512.06558 · pith_short_12: XMMLCRT3WPVH · pith_short_16: XMMLCRT3WPVHI3OR · pith_short_8: XMMLCRT3

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/XMMLCRT3WPVHI3OREH55TC3YIP \
  | 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: bb18b1467bb3ea746dd121fbd98b7843f3c2b90ac3c99f6cf48a5729dd24c915

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "294bd8fa1f900622dcda506146feb0097f831ec80ebbe9112b46d60333419bee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2015-12-21T10:09:14Z",
    "title_canon_sha256": "51d2d72bf773ddfc91c37b4d9efb2d35382a14b0031862afe1e71b6561ecb5f0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06558",
    "kind": "arxiv",
    "version": 1
  }
}