Pith Number

pith:LRK7WHAS

pith:2013:LRK7WHAS75F5UOBYYCKHNKN4TT

not attested not anchored not stored refs pending

Informational Divergence and Entropy Rate on Rooted Trees with Probabilities

Georg B\"ocherer, Rana Ali Amjad

arxiv:1310.2882 v1 · 2013-10-10 · 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{LRK7WHAS75F5UOBYYCKHNKN4TT}

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	2026-05-18T03:10:46.401117Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5c55fb1c12ff4bda3838c09476a9bc9ce135529e80eb4af5f11cc029e891797e

Aliases

arxiv: 1310.2882 · arxiv_version: 1310.2882v1 · doi: 10.48550/arxiv.1310.2882 · pith_short_12: LRK7WHAS75F5 · pith_short_16: LRK7WHAS75F5UOBY · pith_short_8: LRK7WHAS

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/LRK7WHAS75F5UOBYYCKHNKN4TT \
  | 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: 5c55fb1c12ff4bda3838c09476a9bc9ce135529e80eb4af5f11cc029e891797e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a2ce9129fe97360d091a863b6b2de44e1dfb2e81e98e5c5676baaa3edb4054",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-10-10T16:52:31Z",
    "title_canon_sha256": "0042128346d239d41ec4a09ede9441dee17502ee71dc2379a7808d6349c4bd6d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.2882",
    "kind": "arxiv",
    "version": 1
  }
}