Pith Number

pith:4XYP7VLP

pith:2012:4XYP7VLPNGW6KDIR5FY5QVYIG2

not attested not anchored not stored refs pending

Visualizing the Quantum Interaction Picture in Phase Space

Andrea Aiello, Bahar Mehmani

arxiv:1204.1302 v1 · 2012-04-05 · 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{4XYP7VLPNGW6KDIR5FY5QVYIG2}

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	2026-05-18T03:42:23.870795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5f0ffd56f69ade50d11e971d8570836b35cc0fe3fa7183368e9d3ba2d30de7c

Aliases

arxiv: 1204.1302 · arxiv_version: 1204.1302v1 · doi: 10.48550/arxiv.1204.1302 · pith_short_12: 4XYP7VLPNGW6 · pith_short_16: 4XYP7VLPNGW6KDIR · pith_short_8: 4XYP7VLP

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/4XYP7VLPNGW6KDIR5FY5QVYIG2 \
  | 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: e5f0ffd56f69ade50d11e971d8570836b35cc0fe3fa7183368e9d3ba2d30de7c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b4ce9431f41b19601283aa36f6843ac061e1040dfa85283f4db1bd27eaf4e058",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-04-05T18:35:57Z",
    "title_canon_sha256": "5e1697e2bacee33a189589abccee49220ab8f381a1fcdeb0699b4fd645246fc1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.1302",
    "kind": "arxiv",
    "version": 1
  }
}