Pith Number

pith:3N3VXCZW

pith:2011:3N3VXCZWVEWGC2DEW5TRLNMIU5

not attested not anchored not stored refs pending

Directed Information, Causal Estimation, and Communication in Continuous Time

Haim H. Permuter, Tsachy Weissman, Young-Han Kim

arxiv:1109.0351 v2 · 2011-09-02 · 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{3N3VXCZWVEWGC2DEW5TRLNMIU5}

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	2026-05-18T03:41:56.541604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db775b8b36a92c616864b76715b588a76c1b90d9235b8ad50bd0d6ffc00964e6

Aliases

arxiv: 1109.0351 · arxiv_version: 1109.0351v2 · doi: 10.48550/arxiv.1109.0351 · pith_short_12: 3N3VXCZWVEWG · pith_short_16: 3N3VXCZWVEWGC2DE · pith_short_8: 3N3VXCZW

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/3N3VXCZWVEWGC2DEW5TRLNMIU5 \
  | 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: db775b8b36a92c616864b76715b588a76c1b90d9235b8ad50bd0d6ffc00964e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1a9f2ca3f1834e9cbc36f71ebeb3aa98ea095b215d15a32f303ba7997efcc8d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2011-09-02T03:35:51Z",
    "title_canon_sha256": "1db51c8bf8f3a63d0b80fe13205e98ca8854f73f9d248bd5d591d5b7d129895b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0351",
    "kind": "arxiv",
    "version": 2
  }
}