Pith Number

pith:TLJBDZCX

pith:2021:TLJBDZCXW4A5KQMAS7G3RUDFXK

not attested not anchored not stored refs pending

Physics-Informed Machine Learning of the Lagrangian Dynamics of Velocity Gradient Tensor

Daniel Livescu, Michael Chertkov, Yifeng Tian

arxiv:2108.07244 v1 · 2021-08-16 · physics.flu-dyn · math-ph · 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{TLJBDZCXW4A5KQMAS7G3RUDFXK}

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	2026-07-05T03:06:02.883476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ad211e457b701d5418097cdb8d065bab3fb7f7a4fa6a7034f01096a65d89756

Aliases

arxiv: 2108.07244 · arxiv_version: 2108.07244v1 · doi: 10.48550/arxiv.2108.07244 · pith_short_12: TLJBDZCXW4A5 · pith_short_16: TLJBDZCXW4A5KQMA · pith_short_8: TLJBDZCX

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/TLJBDZCXW4A5KQMAS7G3RUDFXK \
  | 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: 9ad211e457b701d5418097cdb8d065bab3fb7f7a4fa6a7034f01096a65d89756

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3889afe83b7d2555f131f5a8f7c07be2d621009be1bd0918d0572b32e4e09e39",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-08-16T17:22:40Z",
    "title_canon_sha256": "0a7bfc06a92fd84db602a9c123aa70e71ddbe537faf229fbe3e3821e0484ff5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.07244",
    "kind": "arxiv",
    "version": 1
  }
}