Pith Number

pith:GVQJG56R

pith:2011:GVQJG56RRX7PWXCASCVSWAMEBR

not attested not anchored not stored refs pending

Optimal decomposable witnesses without the spanning property

Gniewomir Sarbicki, Maciej Lewenstein, Remigiusz Augusiak

arxiv:1107.0505 v3 · 2011-07-03 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GVQJG56RRX7PWXCASCVSWAMEBR}

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	2026-05-18T04:05:57.602307Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35609377d18dfefb5c4090ab2b01840c65cd4fd045cb27b9c995650ba5066f09

Aliases

arxiv: 1107.0505 · arxiv_version: 1107.0505v3 · doi: 10.48550/arxiv.1107.0505 · pith_short_12: GVQJG56RRX7P · pith_short_16: GVQJG56RRX7PWXCA · pith_short_8: GVQJG56R

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/GVQJG56RRX7PWXCASCVSWAMEBR \
  | 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: 35609377d18dfefb5c4090ab2b01840c65cd4fd045cb27b9c995650ba5066f09

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "359fc0fcb346ea23d226a9421e05f22c657accd7a3096b2c9ec1a5f0df4245a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-07-03T22:54:56Z",
    "title_canon_sha256": "57047a1bb126048178cbdb5fe029f69c53b2031c73c3993342c40076928695ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.0505",
    "kind": "arxiv",
    "version": 3
  }
}