Pith Number

pith:3VPJAFCY

pith:2016:3VPJAFCY3SNFCUY3XT7GELTL7E

not attested not anchored not stored refs pending

Limitations of semidefinite programs for separable states and entangled games

Anand Natarajan, Aram W. Harrow, Xiaodi Wu

arxiv:1612.09306 v2 · 2016-12-29 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3VPJAFCY3SNFCUY3XT7GELTL7E}

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	2026-05-17T23:51:14.958970Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd5e901458dc9a51531bbcfe622e6bf92fc5164aef6a7aafb1942314f1898b72

Aliases

arxiv: 1612.09306 · arxiv_version: 1612.09306v2 · doi: 10.48550/arxiv.1612.09306 · pith_short_12: 3VPJAFCY3SNF · pith_short_16: 3VPJAFCY3SNFCUY3 · pith_short_8: 3VPJAFCY

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/3VPJAFCY3SNFCUY3XT7GELTL7E \
  | 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: dd5e901458dc9a51531bbcfe622e6bf92fc5164aef6a7aafb1942314f1898b72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3341649a13379ac5ebe08adfa163436b4db2b7dee6cc37264af034bb687d9279",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-12-29T21:01:01Z",
    "title_canon_sha256": "d60b62f177d50408266b1679025f268185145deb76e0e638a121ba433d5f84e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09306",
    "kind": "arxiv",
    "version": 2
  }
}