Pith Number

pith:YVNFSFDE

pith:2017:YVNFSFDE5DS6ISSQJASEZCIUSF

not attested not anchored not stored refs pending

A Converse Bound on Wyner-Ahlswede-K\"orner Network via Gray-Wyner Network

Shun Watanabe

arxiv:1704.02262 v2 · 2017-04-07 · 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{YVNFSFDE5DS6ISSQJASEZCIUSF}

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	2026-05-18T00:38:08.769561Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c55a591464e8e5e44a5048244c89149151facdc841f23deacb6135e3727110d1

Aliases

arxiv: 1704.02262 · arxiv_version: 1704.02262v2 · doi: 10.48550/arxiv.1704.02262 · pith_short_12: YVNFSFDE5DS6 · pith_short_16: YVNFSFDE5DS6ISSQ · pith_short_8: YVNFSFDE

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/YVNFSFDE5DS6ISSQJASEZCIUSF \
  | 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: c55a591464e8e5e44a5048244c89149151facdc841f23deacb6135e3727110d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9530e8512d95e3eb6a5b49abb8769509ef04e63c69a6d281f833f9c0ada0d646",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2017-04-07T15:26:38Z",
    "title_canon_sha256": "16b0f0534394763527834335a90c3c506cf5725b118761a12c22c31f6a2b0242"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.02262",
    "kind": "arxiv",
    "version": 2
  }
}