Pith Number

pith:P6RQQF5Y

pith:2026:P6RQQF5YIBBNC5I5FJKES3S2LM

not attested not anchored not stored refs pending

Quantum Noncommutativity Uniquely Determines Relative Entropy

Gilad Gour

arxiv:2607.01712 v1 · 2026-07-02 · quant-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P6RQQF5YIBBNC5I5FJKES3S2LM}

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	2026-07-03T01:17:27.489333Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fa30817b84042d1751d2a54496e5a5b10106ff78c141d27aa6d3c264acae838

Aliases

arxiv: 2607.01712 · arxiv_version: 2607.01712v1 · doi: 10.48550/arxiv.2607.01712 · pith_short_12: P6RQQF5YIBBN · pith_short_16: P6RQQF5YIBBNC5I5 · pith_short_8: P6RQQF5Y

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/P6RQQF5YIBBNC5I5FJKES3S2LM \
  | 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: 7fa30817b84042d1751d2a54496e5a5b10106ff78c141d27aa6d3c264acae838

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "590aef3b2289c8d6e65a5952cebda0709822ee8e75cba14acbb81ec8795d7703",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-07-02T05:07:07Z",
    "title_canon_sha256": "695b22c5f4eccb1ab04bc6d1cbaf7c9a646de48743adb7ec79b403286d6986d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.01712",
    "kind": "arxiv",
    "version": 1
  }
}