pith. sign in
Pith Number

pith:XXAGZVL7

pith:2012:XXAGZVL76O5WMAOFMFG5P3GTTH
not attested not anchored not stored refs pending

Unfrustration Condition and Degeneracy of Qudits on Trees

Matthew Coudron, Ramis Movassagh

arxiv:1209.4395 v2 · 2012-09-20 · quant-ph · cond-mat.str-el · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{XXAGZVL76O5WMAOFMFG5P3GTTH}

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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 2026-05-18T03:33:49.814675Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

bdc06cd57ff3bb6601c5614dd7ecd399d9395fc768b224dc3b9f68063a12759a

Aliases

arxiv: 1209.4395 · arxiv_version: 1209.4395v2 · doi: 10.48550/arxiv.1209.4395 · pith_short_12: XXAGZVL76O5W · pith_short_16: XXAGZVL76O5WMAOF · pith_short_8: XXAGZVL7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/XXAGZVL76O5WMAOFMFG5P3GTTH \
  | 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: bdc06cd57ff3bb6601c5614dd7ecd399d9395fc768b224dc3b9f68063a12759a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "06eba0d64312908729cb1e9a727cfe4c219ea580c44f46c009e2f60e00c6a4ff",
    "cross_cats_sorted": [
      "cond-mat.str-el",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-09-20T00:05:50Z",
    "title_canon_sha256": "97e644f372f861bde78cde892ec88dde202f9a6a37df1c9a51b320177b7488ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4395",
    "kind": "arxiv",
    "version": 2
  }
}