Pith Number

pith:VDVGMZGL

pith:2007:VDVGMZGLPULUSHC2CQ6GOVS2E3

not attested not anchored not stored refs pending

Optimal Causal Inference: Estimating Stored Information and Approximating Causal Architecture

Christopher J. Ellison, James P. Crutchfield, Susanne Still

arxiv:0708.1580 v2 · 2007-08-11 · cs.IT · cond-mat.stat-mech · cs.LG · math.IT · math.ST · 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{VDVGMZGLPULUSHC2CQ6GOVS2E3}

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	2026-05-18T04:42:02.828767Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a8ea6664cb7d17491c5a143c67565a26e9ae89ddb4520b2d7364ec1ae06cfa05

Aliases

arxiv: 0708.1580 · arxiv_version: 0708.1580v2 · doi: 10.48550/arxiv.0708.1580 · pith_short_12: VDVGMZGLPULU · pith_short_16: VDVGMZGLPULUSHC2 · pith_short_8: VDVGMZGL

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/VDVGMZGLPULUSHC2CQ6GOVS2E3 \
  | 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: a8ea6664cb7d17491c5a143c67565a26e9ae89ddb4520b2d7364ec1ae06cfa05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19cf2f6719ec6ff20d221009fc29d2de89070309d7aa3cb98e4eeff0c4ec5255",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "cs.LG",
      "math.IT",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2007-08-11T19:13:29Z",
    "title_canon_sha256": "a86e644258a4ad64d0caf95ee3177a869a206cd1740e24708e6366b9fd4417e7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.1580",
    "kind": "arxiv",
    "version": 2
  }
}