Pith Number

pith:SPH27NUP

pith:2021:SPH27NUP3TZWWHT4ETJANSPBWZ

not attested not anchored not stored refs pending

Data-driven learning for the Mori-Zwanzig formalism: a generalization of the Koopman learning framework

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

arxiv:2101.05873 v3 · 2021-01-11 · cond-mat.stat-mech

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPH27NUP3TZWWHT4ETJANSPBWZ}

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	2026-07-05T03:00:29.858304Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93cfafb68fdcf36b1e7c24d206c9e1b668939e50a400a81a6f184590e1ee8fbc

Aliases

arxiv: 2101.05873 · arxiv_version: 2101.05873v3 · doi: 10.48550/arxiv.2101.05873 · pith_short_12: SPH27NUP3TZW · pith_short_16: SPH27NUP3TZWWHT4 · pith_short_8: SPH27NUP

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/SPH27NUP3TZWWHT4ETJANSPBWZ \
  | 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: 93cfafb68fdcf36b1e7c24d206c9e1b668939e50a400a81a6f184590e1ee8fbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e015325ae51e8397a4f19900178e54e6d1e46945d075223f20f6d6776c17148",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2021-01-11T18:50:26Z",
    "title_canon_sha256": "6ca24bca271417c9b3ed767dae35894c07f93aa0619aa03007753beaf4e855ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2101.05873",
    "kind": "arxiv",
    "version": 3
  }
}