Pith Number

pith:MOLFPL7E

pith:2015:MOLFPL7EVU346SLFENHTPT4HSR

not attested not anchored not stored refs pending

Information Flows? A Critique of Transfer Entropies

James P. Crutchfield, Nix Barnett, Ryan G. James

arxiv:1512.06479 v2 · 2015-12-21 · cond-mat.stat-mech · cs.IT · math.IT · math.ST · nlin.AO · q-bio.MN · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MOLFPL7EVU346SLFENHTPT4HSR}

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	2026-05-18T01:12:19.849513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

639657afe4ad37cf4965234f37cf87947c1a116b289f18e3aa82bf306cc9aba9

Aliases

arxiv: 1512.06479 · arxiv_version: 1512.06479v2 · doi: 10.48550/arxiv.1512.06479 · pith_short_12: MOLFPL7EVU34 · pith_short_16: MOLFPL7EVU346SLF · pith_short_8: MOLFPL7E

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/MOLFPL7EVU346SLFENHTPT4HSR \
  | 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: 639657afe4ad37cf4965234f37cf87947c1a116b289f18e3aa82bf306cc9aba9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "93d3874c26b6e6c34a37ab5eeaad6c5ad783c704627182d7cb5557c1f76d72dc",
    "cross_cats_sorted": [
      "cs.IT",
      "math.IT",
      "math.ST",
      "nlin.AO",
      "q-bio.MN",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2015-12-21T03:07:40Z",
    "title_canon_sha256": "3d24d840d746d52fb21c8221493976a0332156d141e96a11faecc3cba6f95ceb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06479",
    "kind": "arxiv",
    "version": 2
  }
}