Pith Number

pith:4PSCXFX5

pith:2010:4PSCXFX5UULKPBHS2EQSFNZNYX

not attested not anchored not stored refs pending

Is Witsenhausen's counterexample a relevant toy?

Anant Sahai, Pulkit Grover

arxiv:1009.2528 v1 · 2010-09-13 · cs.IT · cs.SY · 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{4PSCXFX5UULKPBHS2EQSFNZNYX}

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	2026-05-18T04:40:56.911004Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e42b96fda516a784f2d12122b72dc5c7574911e3d8a1a0bcd36d98fd59a888

Aliases

arxiv: 1009.2528 · arxiv_version: 1009.2528v1 · doi: 10.48550/arxiv.1009.2528 · pith_short_12: 4PSCXFX5UULK · pith_short_16: 4PSCXFX5UULKPBHS · pith_short_8: 4PSCXFX5

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/4PSCXFX5UULKPBHS2EQSFNZNYX \
  | 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: e3e42b96fda516a784f2d12122b72dc5c7574911e3d8a1a0bcd36d98fd59a888

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7c6bee141194f74e8a742c783a0774bb9362cb86c77ab93213dad3c88258f0e4",
    "cross_cats_sorted": [
      "cs.SY",
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2010-09-13T21:48:22Z",
    "title_canon_sha256": "8ee9f476d20d9c62b5ef69cbdfa1a5ac22937bbbee31f549ce2947f21d67b750"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.2528",
    "kind": "arxiv",
    "version": 1
  }
}