Pith Number

pith:PFY6UB7V

pith:2007:PFY6UB7VIGB6KOOMZP472AVTL6

not attested not anchored not stored refs pending

Graph model of the Heisenberg-Weyl algebra

A. Horzela, A.I. Solomon, G.H.E. Duchamp, K.A. Penson, P. Blasiak

arxiv:0710.0266 v2 · 2007-10-01 · quant-ph · math-ph · math.CO · 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{PFY6UB7VIGB6KOOMZP472AVTL6}

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	2026-05-18T03:52:28.727851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7971ea07f54183e539cccbf9fd02b35fa34d1f4bd6e63dae17f0e2c82026dc65

Aliases

arxiv: 0710.0266 · arxiv_version: 0710.0266v2 · doi: 10.48550/arxiv.0710.0266 · pith_short_12: PFY6UB7VIGB6 · pith_short_16: PFY6UB7VIGB6KOOM · pith_short_8: PFY6UB7V

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/PFY6UB7VIGB6KOOMZP472AVTL6 \
  | 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: 7971ea07f54183e539cccbf9fd02b35fa34d1f4bd6e63dae17f0e2c82026dc65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8e4cea6cae04af6795ce9cb871fc8b97e24edd8e40e8f5150206ca24180ff0a",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-10-01T11:34:40Z",
    "title_canon_sha256": "5fac9d038110b8a2cf0bec12c5c4591d43db7a88c6b06a9993ee1474449b2128"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.0266",
    "kind": "arxiv",
    "version": 2
  }
}