Pith Number

pith:I2FU5QVZ

pith:2013:I2FU5QVZHEFBM4FADSORTPSZUX

not attested not anchored not stored refs pending

Duality in Graphical Models

Bala Rajaratnam, Benjamin T. Rolfs, Dhafer Malouche

arxiv:1310.2641 v1 · 2013-10-09 · math.PR · stat.ML

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2FU5QVZHEFBM4FADSORTPSZUX}

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	2026-05-18T03:10:47.074832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

468b4ec2b9390a1670a01c9d19be59a5c7cddc9ce5916bdf91ff11023a50913b

Aliases

arxiv: 1310.2641 · arxiv_version: 1310.2641v1 · doi: 10.48550/arxiv.1310.2641 · pith_short_12: I2FU5QVZHEFB · pith_short_16: I2FU5QVZHEFBM4FA · pith_short_8: I2FU5QVZ

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/I2FU5QVZHEFBM4FADSORTPSZUX \
  | 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: 468b4ec2b9390a1670a01c9d19be59a5c7cddc9ce5916bdf91ff11023a50913b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a5b51b91646e5304f42a9e164561c78dca2033b4eac5d8b23751e68315648bc",
    "cross_cats_sorted": [
      "stat.ML"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-10-09T21:54:14Z",
    "title_canon_sha256": "68b48151d9a8b956e2d83c08512a1acad0886625139fb37c52c6e012bfb1153d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2641",
    "kind": "arxiv",
    "version": 1
  }
}