Pith Number

pith:M6K7BNTH

pith:2010:M6K7BNTHP363QGEOE7C7DH6LHJ

not attested not anchored not stored refs pending

Symmetry Principles in Quantum Systems Theory

Robert Zeier, T. Schulte-Herbrueggen

arxiv:1012.5256 v3 · 2010-12-23 · 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{M6K7BNTHP363QGEOE7C7DH6LHJ}

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	2026-05-18T04:07:43.149024Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6795f0b6677efdb8188e27c5f19fcb3a75d2a3047344376c1f83d2bed18db49e

Aliases

arxiv: 1012.5256 · arxiv_version: 1012.5256v3 · doi: 10.48550/arxiv.1012.5256 · pith_short_12: M6K7BNTHP363 · pith_short_16: M6K7BNTHP363QGEO · pith_short_8: M6K7BNTH

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/M6K7BNTHP363QGEOE7C7DH6LHJ \
  | 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: 6795f0b6677efdb8188e27c5f19fcb3a75d2a3047344376c1f83d2bed18db49e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2c513eed12ec33f8effb0e72d43e23ab1b46287f12b8c283d4751e6887fc742a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-23T17:28:12Z",
    "title_canon_sha256": "1fe2561bc639b670126adc3d335fd593b8c6d20956c850b1b0404e47b7935dd9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5256",
    "kind": "arxiv",
    "version": 3
  }
}