Pith Number

pith:4V6WI7R6

pith:2019:4V6WI7R6XMQF23IHYZ7K7VKZPQ

not attested not anchored not stored refs pending

On Wyner's Common Information in the Gaussian Case

Erixhen Sula, Michael Gastpar

arxiv:1912.07083 v2 · 2019-12-15 · 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{4V6WI7R6XMQF23IHYZ7K7VKZPQ}

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.

Cited by

1 paper in Pith

Coordination Through Shared Randomness

Receipt and verification

First computed	2026-07-05T01:38:16.364792Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e57d647e3ebb205d6d07c67eafd5597c0a36f15b4813d2a0829291b145585593

Aliases

arxiv: 1912.07083 · arxiv_version: 1912.07083v2 · doi: 10.48550/arxiv.1912.07083 · pith_short_12: 4V6WI7R6XMQF · pith_short_16: 4V6WI7R6XMQF23IH · pith_short_8: 4V6WI7R6

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/4V6WI7R6XMQF23IHYZ7K7VKZPQ \
  | 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: e57d647e3ebb205d6d07c67eafd5597c0a36f15b4813d2a0829291b145585593

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "706474df07c3e94fd10ae25fb949b9a6555652036bdf3f9b13d42ba73c4cd255",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2019-12-15T18:33:40Z",
    "title_canon_sha256": "a7725c4ef75707bad2cafde57770681e72c5424ec3ecc8b3d819da0df156dc00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.07083",
    "kind": "arxiv",
    "version": 2
  }
}