Pith Number

pith:TXOULYRV

pith:2026:TXOULYRVORYYVNZ7VQZKPF7NM3

not attested not anchored not stored refs pending

Machine-Checked Certificates for the Geometric Half of the Minimum Kochen-Specker Bound

Ibrahim Mian, Shayaan Siddique

arxiv:2607.26413 v1 · 2026-07-29 · cs.LO · 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{TXOULYRVORYYVNZ7VQZKPF7NM3}

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	2026-07-30T01:18:21.414350Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

9ddd45e23574718ab73fac32a797ed66c4a3acf8d6398630f62e6afbc485326a

Aliases

arxiv: 2607.26413 · arxiv_version: 2607.26413v1 · doi: 10.48550/arxiv.2607.26413 · pith_short_12: TXOULYRVORYY · pith_short_16: TXOULYRVORYYVNZ7 · pith_short_8: TXOULYRV

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/TXOULYRVORYYVNZ7VQZKPF7NM3 \
  | 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: 9ddd45e23574718ab73fac32a797ed66c4a3acf8d6398630f62e6afbc485326a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29bf054ebef200b44cbd9fa29804b435e892e026d4821ae28566f22ce69adfa0",
    "cross_cats_sorted": [
      "quant-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2026-07-29T02:53:00Z",
    "title_canon_sha256": "92a165643fe2f5a7ccd04d399e112f7656bd267867d322d3932583d5c66f0f5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.26413",
    "kind": "arxiv",
    "version": 1
  }
}