Pith Number

pith:BLZT4YHY

pith:2004:BLZT4YHYEAYBWAX6PIXBU46BEZ

not attested not anchored not stored refs pending

Marginal distributions in $(\bf 2N)$-dimensional phase space and the quantum $(\bf N+1)$ marginal theorem

G. Auberson, G. Mahoux, S. M. Roy, V. Singh

arxiv:quant-ph/0402113 v2 · 2004-02-17 · 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{BLZT4YHYEAYBWAX6PIXBU46BEZ}

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	2026-05-18T01:37:58.651706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0af33e60f820301b02fe7a2e1a73c12642f5a9921c353c2a3b03b1093e1209d5

Aliases

arxiv: quant-ph/0402113 · arxiv_version: quant-ph/0402113v2 · doi: 10.48550/arxiv.quant-ph/0402113 · pith_short_12: BLZT4YHYEAYB · pith_short_16: BLZT4YHYEAYBWAX6 · pith_short_8: BLZT4YHY

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/BLZT4YHYEAYBWAX6PIXBU46BEZ \
  | 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: 0af33e60f820301b02fe7a2e1a73c12642f5a9921c353c2a3b03b1093e1209d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5437c129eda58589a1e6757280d22cbc9154ac7b867a884217ca4cfae8f26834",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-02-17T10:20:22Z",
    "title_canon_sha256": "4a58e1b0c9413203835c0025c996b7f342c0af36e3de31041328df2c358c0dcb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0402113",
    "kind": "arxiv",
    "version": 2
  }
}