Pith Number

pith:P6QB3NV5

pith:2011:P6QB3NV5ISRM7WCQN6HKPPWNJJ

not attested not anchored not stored refs pending

Causal Dependence Tree Approximations of Joint Distributions for Multiple Random Processes

Christopher J. Quinn, Negar Kiyavash, Todd P. Coleman

arxiv:1101.5108 v1 · 2011-01-26 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6QB3NV5ISRM7WCQN6HKPPWNJJ}

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	2026-05-18T04:30:46.808154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa01db6bd44a2cfd8506f8ea7becd4a740ef101ace2d21489bb9cb0ef4a3190

Aliases

arxiv: 1101.5108 · arxiv_version: 1101.5108v1 · doi: 10.48550/arxiv.1101.5108 · pith_short_12: P6QB3NV5ISRM · pith_short_16: P6QB3NV5ISRM7WCQ · pith_short_8: P6QB3NV5

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/P6QB3NV5ISRM7WCQN6HKPPWNJJ \
  | 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: 7fa01db6bd44a2cfd8506f8ea7becd4a740ef101ace2d21489bb9cb0ef4a3190

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ea51aaae13b8db213f2959e14d4a65989278dc09344df684263bb941ec16a32",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-01-26T17:05:28Z",
    "title_canon_sha256": "a55c4acd8c63181968ec392f7c0ae5c9a53e914b24dd0c4070f4aead5fdaa362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5108",
    "kind": "arxiv",
    "version": 1
  }
}