Pith Number

pith:JTYWNZXZ

pith:2016:JTYWNZXZULPEUZINIYSOHU73SW

not attested not anchored not stored refs pending

Comparison of Channels: Criteria for Domination by a Symmetric Channel

Anuran Makur, Yury Polyanskiy

arxiv:1609.06877 v3 · 2016-09-22 · cs.IT · math.IT · math.PR · math.ST · stat.TH

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JTYWNZXZULPEUZINIYSOHU73SW}

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	2026-05-17T23:59:26.696054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4cf166e6f9a2de4a650d4624e3d3fb95a0da9c6e7e7c24f9b6e57f0e70700466

Aliases

arxiv: 1609.06877 · arxiv_version: 1609.06877v3 · doi: 10.48550/arxiv.1609.06877 · pith_short_12: JTYWNZXZULPE · pith_short_16: JTYWNZXZULPEUZIN · pith_short_8: JTYWNZXZ

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/JTYWNZXZULPEUZINIYSOHU73SW \
  | 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: 4cf166e6f9a2de4a650d4624e3d3fb95a0da9c6e7e7c24f9b6e57f0e70700466

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0182ce2e46de6f912def5153c2395bee8b3c310fa76fef94be0f0f6686a9574f",
    "cross_cats_sorted": [
      "math.IT",
      "math.PR",
      "math.ST",
      "stat.TH"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2016-09-22T09:17:05Z",
    "title_canon_sha256": "5495a802d9387716311dd69e6f3bcb9e8e1728eb8abf5142d025c578614c281a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.06877",
    "kind": "arxiv",
    "version": 3
  }
}