Pith Number

pith:S6P5G5HS

pith:2009:S6P5G5HS5P66WVZSYP2EXDC5SF

not attested not anchored not stored refs pending

Number-Phase Wigner Representation for Efficient Stochastic Simulations

A. R. R. Carvalho, J. J. Hope, M. R. Hush

arxiv:0912.3581 v1 · 2009-12-18 · 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{S6P5G5HS5P66WVZSYP2EXDC5SF}

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	2026-05-18T02:10:15.747138Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

979fd374f2ebfdeb5732c3f44b8c5d9142d580737fcd55d163d038089ea9e69b

Aliases

arxiv: 0912.3581 · arxiv_version: 0912.3581v1 · doi: 10.48550/arxiv.0912.3581 · pith_short_12: S6P5G5HS5P66 · pith_short_16: S6P5G5HS5P66WVZS · pith_short_8: S6P5G5HS

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/S6P5G5HS5P66WVZSYP2EXDC5SF \
  | 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: 979fd374f2ebfdeb5732c3f44b8c5d9142d580737fcd55d163d038089ea9e69b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca92f489343ee1cc42349f10842427881e71b384f70e0c96032e1eac89be177c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-12-18T04:00:46Z",
    "title_canon_sha256": "f9ae1e89f7d59f73b7c941474968569b3be458c4ddb29862e040c207ebc5a604"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3581",
    "kind": "arxiv",
    "version": 1
  }
}