Pith Number

pith:PEX6B3DJ

pith:2021:PEX6B3DJWTNV6CWCZAYLKKOROE

not attested not anchored not stored refs pending

On distributions of velocity random fields in turbulent flows

Jiawei Li, Mingrui Zhou, Zhongmin Qian

arxiv:2107.03219 v1 · 2021-07-07 · math-ph · math.MP · 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{PEX6B3DJWTNV6CWCZAYLKKOROE}

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	2026-07-05T02:56:01.877218Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

792fe0ec69b4db5f0ac2c830b529d1710d50116f9cc2231e39c2c7cfcb5000e3

Aliases

arxiv: 2107.03219 · arxiv_version: 2107.03219v1 · doi: 10.48550/arxiv.2107.03219 · pith_short_12: PEX6B3DJWTNV · pith_short_16: PEX6B3DJWTNV6CWC · pith_short_8: PEX6B3DJ

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/PEX6B3DJWTNV6CWCZAYLKKOROE \
  | 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: 792fe0ec69b4db5f0ac2c830b529d1710d50116f9cc2231e39c2c7cfcb5000e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aca25f0c60fb1c3ef7900afc876b733c30c865854258896ead5b9fef924cd948",
    "cross_cats_sorted": [
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2021-07-07T13:46:47Z",
    "title_canon_sha256": "3ca34d07c70677cfe9b0cf8d6c1581feac38b53c9176553768510336c5d11d61"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.03219",
    "kind": "arxiv",
    "version": 1
  }
}