Pith Number

pith:ACNJS2VD

pith:2013:ACNJS2VDH4MQITTSO425TUGEY5

not attested not anchored not stored refs pending

Analytical and Numerical Characterizations of Shannon Ordering for Discrete Memoryless Channels

Cihan Tepedelenlioglu, Yuan Zhang

arxiv:1302.1484 v1 · 2013-02-06 · 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{ACNJS2VDH4MQITTSO425TUGEY5}

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	2026-05-18T03:10:11.873462Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

009a996aa33f19044e727735d9d0c4c76f0bcc4967a0aab563f7b234a5c3364c

Aliases

arxiv: 1302.1484 · arxiv_version: 1302.1484v1 · doi: 10.48550/arxiv.1302.1484 · pith_short_12: ACNJS2VDH4MQ · pith_short_16: ACNJS2VDH4MQITTS · pith_short_8: ACNJS2VD

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/ACNJS2VDH4MQITTSO425TUGEY5 \
  | 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: 009a996aa33f19044e727735d9d0c4c76f0bcc4967a0aab563f7b234a5c3364c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0ab9958031a920d78919db0296e936e2819565f420be245571c7bfcc1b41552",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-02-06T19:28:39Z",
    "title_canon_sha256": "de1fefe343f54e904ac86101ac89a58f070d7f5ba5423f90d027181fde190ae7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.1484",
    "kind": "arxiv",
    "version": 1
  }
}