Pith Number

pith:QGYHYLTM

pith:2016:QGYHYLTMXJRBXXYCJTEJ3N6X5I

not attested not anchored not stored refs pending

High dimension and symmetries in quantum information theory

C\'ecilia Lancien

arxiv:1607.06843 v1 · 2016-07-22 · quant-ph · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QGYHYLTMXJRBXXYCJTEJ3N6X5I}

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	2026-05-18T01:10:35.627509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81b07c2e6cba621bdf024cc89db7d7ea3c9e46b9f9f3933e82673bf7948bee39

Aliases

arxiv: 1607.06843 · arxiv_version: 1607.06843v1 · doi: 10.48550/arxiv.1607.06843 · pith_short_12: QGYHYLTMXJRB · pith_short_16: QGYHYLTMXJRBXXYC · pith_short_8: QGYHYLTM

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/QGYHYLTMXJRBXXYCJTEJ3N6X5I \
  | 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: 81b07c2e6cba621bdf024cc89db7d7ea3c9e46b9f9f3933e82673bf7948bee39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2145e54756ce0a9255b08d6095251328caaf50f2d6634006322f2890281bc80",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-07-22T21:04:28Z",
    "title_canon_sha256": "d1dc1e270ed1e8bf7f4d8373fc5c1ede35f09922819bada5f4e7def4a3deff95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06843",
    "kind": "arxiv",
    "version": 1
  }
}