Pith Number

pith:SDCAYHSQ

pith:2025:SDCAYHSQQOZJ5DCNNRNNC7FP6B

not attested not anchored not stored refs pending

Operator theoretic measures of causality from linearised dynamics

Ankit Srivastava, Louis Cattafesta, Scott Dawson

arxiv:2506.08118 v2 · 2025-06-09 · nlin.CD · 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{SDCAYHSQQOZJ5DCNNRNNC7FP6B}

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	2026-07-05T11:36:32.691491Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90c40c1e5083b29e8c4d6c5ad17caff04cb67c9823a23694aca0eba432d8a902

Aliases

arxiv: 2506.08118 · arxiv_version: 2506.08118v2 · doi: 10.48550/arxiv.2506.08118 · pith_short_12: SDCAYHSQQOZJ · pith_short_16: SDCAYHSQQOZJ5DCN · pith_short_8: SDCAYHSQ

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/SDCAYHSQQOZJ5DCNNRNNC7FP6B \
  | 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: 90c40c1e5083b29e8c4d6c5ad17caff04cb67c9823a23694aca0eba432d8a902

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b970e99b0e15ac7aa6482f5d2bb0050a47fab33a3df1bd1d4fbc33238d878986",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2025-06-09T18:19:09Z",
    "title_canon_sha256": "074c3112ad75f26c0a0a0831368fb60f3ca2f4fca5ffa91c997b604d24fde0d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.08118",
    "kind": "arxiv",
    "version": 2
  }
}