Pith Number

pith:GK7N55ID

pith:2002:GK7N55ID2BKS6L33TFNKPDF5T7

not attested not anchored not stored refs pending

A common algebraic description for probabilistic and quantum computations

Jose M. Fernandez, Markus Holzer, Martin Beaudry

arxiv:quant-ph/0212096 v1 · 2002-12-16 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GK7N55ID2BKS6L33TFNKPDF5T7}

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	2026-05-18T01:05:04.206688Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32bedef503d0552f2f7b995aa78cbd9ff5c288f84d452e254cda4f77290da61f

Aliases

arxiv: quant-ph/0212096 · arxiv_version: quant-ph/0212096v1 · doi: 10.48550/arxiv.quant-ph/0212096 · pith_short_12: GK7N55ID2BKS · pith_short_16: GK7N55ID2BKS6L33 · pith_short_8: GK7N55ID

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/GK7N55ID2BKS6L33TFNKPDF5T7 \
  | 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: 32bedef503d0552f2f7b995aa78cbd9ff5c288f84d452e254cda4f77290da61f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8cc6676cdee6ec0b6a32e447035cbb64625b630e320ca6670c1fd69f7ca4814",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-12-16T22:37:51Z",
    "title_canon_sha256": "c47e49fa0f95b2631d5576b3e426ec70dfed5353595cb8f9769569b367fac1d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0212096",
    "kind": "arxiv",
    "version": 1
  }
}