Pith Number

pith:PZ77UZBG

pith:2026:PZ77UZBGMJPVSHJRROGELJHPRD

not attested not anchored not stored refs pending

PHASE: Pauli Hierarchical Assembly on Subdivided Elements for Quantum-Compatible Operator Synthesis

Caglar Oskay, Tillman Philo

arxiv:2606.11478 v1 · 2026-06-09 · quant-ph · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PZ77UZBGMJPVSHJRROGELJHPRD}

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	2026-06-11T01:09:51.197869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e7ffa6426625f591d318b8c45a4ef88d2acba835f04156eeacc7b4ddc7c5ed3

Aliases

arxiv: 2606.11478 · arxiv_version: 2606.11478v1 · doi: 10.48550/arxiv.2606.11478 · pith_short_12: PZ77UZBGMJPV · pith_short_16: PZ77UZBGMJPVSHJR · pith_short_8: PZ77UZBG

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/PZ77UZBGMJPVSHJRROGELJHPRD \
  | 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: 7e7ffa6426625f591d318b8c45a4ef88d2acba835f04156eeacc7b4ddc7c5ed3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1795f0f330ee5bce975c1f8270b6420a1c1e6cbc569b0fc164656e842ce24df4",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-09T22:13:50Z",
    "title_canon_sha256": "2d70b86db949f48e68aa3a67e42f95d35e073a0cf51a918c26c2415f8dbc8a89"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11478",
    "kind": "arxiv",
    "version": 1
  }
}