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Pith Number

pith:T7EUO4VT

pith:2012:T7EUO4VT3UTLAZEIQMJHIKGTUF
not attested not anchored not stored refs pending

A Dynamic Systems Approach to Fermions and Their Relation to Spins

Michael Keyl, Robert Zeier, T. Schulte-Herbrueggen, Zolt\'an Zimbor\'as

arxiv:1211.2226 v4 · 2012-11-09 · quant-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{T7EUO4VT3UTLAZEIQMJHIKGTUF}

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 2026-05-18T02:42:39.738293Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9fc94772b3dd26b0648883127428d3a14bc7b700e3475a20dc6b3e1c8c21a53a

Aliases

arxiv: 1211.2226 · arxiv_version: 1211.2226v4 · doi: 10.48550/arxiv.1211.2226 · pith_short_12: T7EUO4VT3UTL · pith_short_16: T7EUO4VT3UTLAZEI · pith_short_8: T7EUO4VT
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/T7EUO4VT3UTLAZEIQMJHIKGTUF \
  | 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: 9fc94772b3dd26b0648883127428d3a14bc7b700e3475a20dc6b3e1c8c21a53a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "1d3206fdb50f5eef5f360531b56bceb0580397ec6426a152565ec10be533dd16",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-11-09T20:44:58Z",
    "title_canon_sha256": "bf9ab64cebcaa764afcd8dbc40d2073bc0e536258325fabfe64c864f50eb2f77"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2226",
    "kind": "arxiv",
    "version": 4
  }
}