Pith Number

pith:WQLRHBCD

pith:2015:WQLRHBCDAC6X65CFXKGQBZN6EW

not attested not anchored not stored refs pending

Causation entropy from symbolic representations of dynamical systems

Carlo Cafaro, Erik M. Bollt, Jie Sun, Warren M. Lord

arxiv:1507.07262 v1 · 2015-07-11 · physics.data-an

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WQLRHBCDAC6X65CFXKGQBZN6EW}

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	2026-05-18T01:35:44.452308Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b41713844300bd7f7445ba8d00e5be25bfb13243169b00ff88e514fcdbd77b0f

Aliases

arxiv: 1507.07262 · arxiv_version: 1507.07262v1 · doi: 10.48550/arxiv.1507.07262 · pith_short_12: WQLRHBCDAC6X · pith_short_16: WQLRHBCDAC6X65CF · pith_short_8: WQLRHBCD

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/WQLRHBCDAC6X65CFXKGQBZN6EW \
  | 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: b41713844300bd7f7445ba8d00e5be25bfb13243169b00ff88e514fcdbd77b0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff27a7eb3e2c81fb20dc93e4e6b1602077f813f15f3573a0251d50257852b6ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.data-an",
    "submitted_at": "2015-07-11T15:57:40Z",
    "title_canon_sha256": "c8d3495bf006ca968ebdc423f5c37219af04186b4bb7c60fd8ff285217ebb744"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.07262",
    "kind": "arxiv",
    "version": 1
  }
}