Pith Number

pith:PJAPMQWS

pith:2012:PJAPMQWSTGLRO2CT2JJZGQ4NKM

not attested not anchored not stored refs pending

Wigner flow reveals topological order in quantum phase space dynamics

Dimitris Kakofengitis, Georg Ritter, Ole Steuernagel

arxiv:1208.2970 v2 · 2012-08-14 · quant-ph · physics.chem-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PJAPMQWSTGLRO2CT2JJZGQ4NKM}

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	2026-05-18T03:35:27.989265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a40f642d29997176853d25393438d5330ac4c28294e940de8e3d0011e3b5846

Aliases

arxiv: 1208.2970 · arxiv_version: 1208.2970v2 · doi: 10.48550/arxiv.1208.2970 · pith_short_12: PJAPMQWSTGLR · pith_short_16: PJAPMQWSTGLRO2CT · pith_short_8: PJAPMQWS

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/PJAPMQWSTGLRO2CT2JJZGQ4NKM \
  | 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: 7a40f642d29997176853d25393438d5330ac4c28294e940de8e3d0011e3b5846

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3731777d1ac6e57dfb7d9269ec49fd4f477903875df764fa8944b5d3bdaa399",
    "cross_cats_sorted": [
      "physics.chem-ph",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-08-14T20:25:11Z",
    "title_canon_sha256": "7c01f3dce1b187f5bec6b92bf181c6b5a964e08f00d03b0259dc433431c0560b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.2970",
    "kind": "arxiv",
    "version": 2
  }
}