Pith Number

pith:6PFX7WJ4

pith:2016:6PFX7WJ4APKMXEYFJ57D3B5HHT

not attested not anchored not stored refs pending

Transfer entropy in continuous time, with applications to jump and neural spiking processes

Joseph T. Lizier, Mikhail Prokopenko, Richard E. Spinney

arxiv:1610.08192 v2 · 2016-10-26 · cs.IT · math.IT · nlin.AO · physics.data-an · q-bio.NC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6PFX7WJ4APKMXEYFJ57D3B5HHT}

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	2026-05-18T00:47:09.398520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3cb7fd93c03d4cb93054f7e3d87a73cce72eeef1ddf046640185694c8537d62

Aliases

arxiv: 1610.08192 · arxiv_version: 1610.08192v2 · doi: 10.48550/arxiv.1610.08192 · pith_short_12: 6PFX7WJ4APKM · pith_short_16: 6PFX7WJ4APKMXEYF · pith_short_8: 6PFX7WJ4

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/6PFX7WJ4APKMXEYFJ57D3B5HHT \
  | 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: f3cb7fd93c03d4cb93054f7e3d87a73cce72eeef1ddf046640185694c8537d62

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85eaf533d255d39d284c9c54d6a2ace119c9c6477abc1a45432174a77ed2c2a0",
    "cross_cats_sorted": [
      "math.IT",
      "nlin.AO",
      "physics.data-an",
      "q-bio.NC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-10-26T06:23:11Z",
    "title_canon_sha256": "12d09172e65382555d8edf8328ab63838cd8e397fcdbef7ea358a39cfdbacd8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.08192",
    "kind": "arxiv",
    "version": 2
  }
}