Pith Number

pith:4AZADBNL

pith:2021:4AZADBNLT22BF6N2OZ5T6QWY45

not attested not anchored not stored refs pending

Data-Driven Operator Theoretic Methods for Phase Space Learning and Analysis

Enoch Yeung, Sai Pushpak Nandanoori, Subhrajit Sinha

arxiv:2106.15678 v1 · 2021-06-29 · math.DS · cs.SY · eess.SY

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AZADBNLT22BF6N2OZ5T6QWY45}

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	2026-07-05T02:53:59.208022Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0320185ab9eb412f9ba767b3f42d8e748b72fe8e3086ec0dfdb96338f9d21b2

Aliases

arxiv: 2106.15678 · arxiv_version: 2106.15678v1 · doi: 10.48550/arxiv.2106.15678 · pith_short_12: 4AZADBNLT22B · pith_short_16: 4AZADBNLT22BF6N2 · pith_short_8: 4AZADBNL

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/4AZADBNLT22BF6N2OZ5T6QWY45 \
  | 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: e0320185ab9eb412f9ba767b3f42d8e748b72fe8e3086ec0dfdb96338f9d21b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d43e71423914bd173d9a9325244eb0f4896a47895b86e19438e5606d5ecde6d0",
    "cross_cats_sorted": [
      "cs.SY",
      "eess.SY"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2021-06-29T18:53:40Z",
    "title_canon_sha256": "83243b386e0f3dfe3cb85e2e68bd3ac49eb15f256317f1f47965dec534254337"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.15678",
    "kind": "arxiv",
    "version": 1
  }
}