Pith Number

pith:IBDG2ZFO

pith:2016:IBDG2ZFO2Q66N4QQBG5CZL25E3

not attested not anchored not stored refs pending

Local Optimality of Almost Piecewise-Linear Quantizers for Witsenhausen's Problem

Ali Jadbabaie, Amir Ajorlou

arxiv:1604.03806 v5 · 2016-04-13 · 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{IBDG2ZFO2Q66N4QQBG5CZL25E3}

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	2026-05-17T23:46:55.891577Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40466d64aed43de6f21009ba2caf5d26da1068f08d1b1988b22b7796de0ec773

Aliases

arxiv: 1604.03806 · arxiv_version: 1604.03806v5 · doi: 10.48550/arxiv.1604.03806 · pith_short_12: IBDG2ZFO2Q66 · pith_short_16: IBDG2ZFO2Q66N4QQ · pith_short_8: IBDG2ZFO

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/IBDG2ZFO2Q66N4QQBG5CZL25E3 \
  | 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: 40466d64aed43de6f21009ba2caf5d26da1068f08d1b1988b22b7796de0ec773

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "216bd1ec06e9edf8d98231e6d57be50e3715ad6874fc92ad005ce64db40f45d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2016-04-13T14:35:12Z",
    "title_canon_sha256": "31acb9c605bc236b2087f979a3873b1741c4d97d77ed073ed5b39f123ab9ab44"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03806",
    "kind": "arxiv",
    "version": 5
  }
}