Pith Number

pith:4XKB5KOU

pith:2021:4XKB5KOUFHONMDYHPNLB3M6JZ3

not attested not anchored not stored refs pending

Dynamical independence: discovering emergent macroscopic processes in complex dynamical systems

Anil K. Seth, Lionel Barnett

arxiv:2106.06511 v2 · 2021-06-11 · nlin.AO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4XKB5KOUFHONMDYHPNLB3M6JZ3}

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	2026-07-05T06:34:16.083250Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d41ea9d429dcd60f077b561db3c9cecb1d48bd16edbc98a1c97b433328369e

Aliases

arxiv: 2106.06511 · arxiv_version: 2106.06511v2 · doi: 10.48550/arxiv.2106.06511 · pith_short_12: 4XKB5KOUFHON · pith_short_16: 4XKB5KOUFHONMDYH · pith_short_8: 4XKB5KOU

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/4XKB5KOUFHONMDYHPNLB3M6JZ3 \
  | 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: e5d41ea9d429dcd60f077b561db3c9cecb1d48bd16edbc98a1c97b433328369e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dc44b1cdf7ee2484f039649283082039ce042d7dedf71d7df5feabdb9f606761",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "nlin.AO",
    "submitted_at": "2021-06-11T17:11:45Z",
    "title_canon_sha256": "c5d0449d8a60ce977d297e16f49fffc770b31c08f69fb4406c4261919e3b5634"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2106.06511",
    "kind": "arxiv",
    "version": 2
  }
}