Pith Number

pith:JGKGUKOC

pith:2026:JGKGUKOCIHPFL6UFV4GD3PIAJK

not attested not anchored not stored refs pending

Matrix phase-space representations for quantum symmetries

Alexander S. Dellios, Margaret D. Reid, Peter D. Drummond

arxiv:2606.12769 v1 · 2026-06-11 · 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{JGKGUKOCIHPFL6UFV4GD3PIAJK}

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	2026-06-12T01:08:50.183177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49946a29c241de55fa85af0c3dbd004a988c6794a65e979d5162008f157b632a

Aliases

arxiv: 2606.12769 · arxiv_version: 2606.12769v1 · doi: 10.48550/arxiv.2606.12769 · pith_short_12: JGKGUKOCIHPF · pith_short_16: JGKGUKOCIHPFL6UF · pith_short_8: JGKGUKOC

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/JGKGUKOCIHPFL6UFV4GD3PIAJK \
  | 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: 49946a29c241de55fa85af0c3dbd004a988c6794a65e979d5162008f157b632a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3126bd262e18005686fe01958ecb7750edb33abc1f209c491417bff3efb4587a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2026-06-11T00:22:57Z",
    "title_canon_sha256": "ffa42fb933866f386952d6c79e30d91f3a3d53522216a5c6ed5d21572e02dc7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.12769",
    "kind": "arxiv",
    "version": 1
  }
}