Pith Number

pith:YEWYKODP

pith:2013:YEWYKODPCQ7YXDIGFWYPWGSA6A

not attested not anchored not stored refs pending

An Upper Bound on the Capacity of Vector Dirty Paper with Unknown Spin and Stretch

Ashutosh Sabharwal, David T.H. Kao

arxiv:1305.3934 v1 · 2013-05-16 · 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{YEWYKODPCQ7YXDIGFWYPWGSA6A}

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	2026-05-18T03:25:26.783888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c12d85386f143f8b8d062db0fb1a40f03c5498083a4ed0a910facd74ac991da9

Aliases

arxiv: 1305.3934 · arxiv_version: 1305.3934v1 · doi: 10.48550/arxiv.1305.3934 · pith_short_12: YEWYKODPCQ7Y · pith_short_16: YEWYKODPCQ7YXDIG · pith_short_8: YEWYKODP

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/YEWYKODPCQ7YXDIGFWYPWGSA6A \
  | 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: c12d85386f143f8b8d062db0fb1a40f03c5498083a4ed0a910facd74ac991da9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ff721dbd3d43e303a9c8215c15402b7b0eae89a73c3b660c01e0cea3f185124",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2013-05-16T21:01:55Z",
    "title_canon_sha256": "4a41cf4e03e8fac3a81bda12764508a597868fca5b118b33697436b57cc1965a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3934",
    "kind": "arxiv",
    "version": 1
  }
}