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Pith Number

pith:T7A65HCH

pith:2017:T7A65HCHYBVI6EXDFS6HDILUZ5
not attested not anchored not stored refs pending

The groupoid of bifractional transformations

A. Vourdas, C. Lei, S. Agyo

arxiv:1706.03557 v1 · 2017-06-12 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{T7A65HCHYBVI6EXDFS6HDILUZ5}

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 2026-05-18T00:42:04.326789Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

9fc1ee9c47c06a8f12e32cbc71a174cf62f66658c5e8813b3a737700abddaa9c

Aliases

arxiv: 1706.03557 · arxiv_version: 1706.03557v1 · doi: 10.48550/arxiv.1706.03557 · pith_short_12: T7A65HCHYBVI · pith_short_16: T7A65HCHYBVI6EXD · pith_short_8: T7A65HCH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/T7A65HCHYBVI6EXDFS6HDILUZ5 \
  | 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: 9fc1ee9c47c06a8f12e32cbc71a174cf62f66658c5e8813b3a737700abddaa9c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a44b22b997565a455b7e050964c82bd8891aa9bcfc17f724cb35ac0605975548",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2017-06-12T10:48:41Z",
    "title_canon_sha256": "f7acae2c3ec3cd4dbb8b1602b9953d60649c18389f8e32dc1f9efed4c9f846e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.03557",
    "kind": "arxiv",
    "version": 1
  }
}