Pith Number

pith:BAGOKN7O

pith:2021:BAGOKN7OS6KTZ3XMBHA2L2TEDP

not attested not anchored not stored refs pending

Data Driven Learning of Mori-Zwanzig Operators for Isotropic Turbulence

Daniel Livescu, Marian Anghel, Yen Ting Lin, Yifeng Tian

arxiv:2108.13288 v1 · 2021-08-30 · 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{BAGOKN7OS6KTZ3XMBHA2L2TEDP}

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	2026-07-05T03:42:46.979663Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

080ce537ee97953ceeec09c1a5ea641bcf54bdfb5b20235526a85231558e1751

Aliases

arxiv: 2108.13288 · arxiv_version: 2108.13288v1 · doi: 10.48550/arxiv.2108.13288 · pith_short_12: BAGOKN7OS6KT · pith_short_16: BAGOKN7OS6KTZ3XM · pith_short_8: BAGOKN7O

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/BAGOKN7OS6KTZ3XMBHA2L2TEDP \
  | 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: 080ce537ee97953ceeec09c1a5ea641bcf54bdfb5b20235526a85231558e1751

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "95e51862038b68092fdac59a94346a0a3666054c951af8236485355c0ce81d05",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2021-08-30T15:03:25Z",
    "title_canon_sha256": "2816d92cf5290186ba571775f29f5aef821637ad1b6dd8ae5dac1c2bb16152d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2108.13288",
    "kind": "arxiv",
    "version": 1
  }
}