Pith Number

pith:CJ4U433Y

pith:2014:CJ4U433YBFK4FDXM6ND6KFLJTQ

not attested not anchored not stored refs pending

Multilevel Diversity Coding Systems: Rate Regions, Codes, Computation, & Forbidden Minors

Congduan Li, John MacLaren Walsh, Steven Weber

arxiv:1407.5659 v2 · 2014-07-21 · 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{CJ4U433YBFK4FDXM6ND6KFLJTQ}

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	2026-05-18T02:44:08.073282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

12794e6f780955c28eecf347e515699c0c0bbec3cf140eab9843b68ffe9a788d

Aliases

arxiv: 1407.5659 · arxiv_version: 1407.5659v2 · doi: 10.48550/arxiv.1407.5659 · pith_short_12: CJ4U433YBFK4 · pith_short_16: CJ4U433YBFK4FDXM · pith_short_8: CJ4U433Y

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/CJ4U433YBFK4FDXM6ND6KFLJTQ \
  | 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: 12794e6f780955c28eecf347e515699c0c0bbec3cf140eab9843b68ffe9a788d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e246fcdd3255c5ff2e0eeea4120253fa8ee579564c5348fdb015ac76769cc033",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2014-07-21T20:31:45Z",
    "title_canon_sha256": "86959a40efccfaaa2f218a8f24f0949f17d91a27eaa4123e6130965f5c5aed6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5659",
    "kind": "arxiv",
    "version": 2
  }
}