Pith Number

pith:OAFUTKVG

pith:2010:OAFUTKVG3MM4X64YDEWHNUMIJV

not attested not anchored not stored refs pending

The finite-dimensional Witsenhausen counterexample

Anant Sahai, Pulkit Grover, Se Yong Park

arxiv:1003.0514 v1 · 2010-03-02 · cs.IT · cs.CC · math.IT · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OAFUTKVG3MM4X64YDEWHNUMIJV}

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	2026-05-18T00:58:47.682256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

700b49aaa6db19cbfb98192c76d1884d57110bc5b9ad063d3c28dfabae8f6526

Aliases

arxiv: 1003.0514 · arxiv_version: 1003.0514v1 · doi: 10.48550/arxiv.1003.0514 · pith_short_12: OAFUTKVG3MM4 · pith_short_16: OAFUTKVG3MM4X64Y · pith_short_8: OAFUTKVG

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/OAFUTKVG3MM4X64YDEWHNUMIJV \
  | 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: 700b49aaa6db19cbfb98192c76d1884d57110bc5b9ad063d3c28dfabae8f6526

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19889b2b1af107ce2d51407c5ee8130386998e0b3a72d8ef3a39b282f4679990",
    "cross_cats_sorted": [
      "cs.CC",
      "math.IT",
      "math.OC"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-03-02T07:44:14Z",
    "title_canon_sha256": "0ce8181b6ce5cfd4cd5c4ddc94099fffb0430e85f4e16e3e6c9ffa3578d7a84b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.0514",
    "kind": "arxiv",
    "version": 1
  }
}