Pith Number

pith:WY5F6HYK

pith:2004:WY5F6HYKIGJY27WLUUXDFIV5LL

not attested not anchored not stored refs pending

Complex multi-projective variety and entanglement

Gunnar Bj\"ork, Hoshang Heydari

arxiv:quant-ph/0412051 v2 · 2004-12-07 · 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{WY5F6HYKIGJY27WLUUXDFIV5LL}

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	2026-05-18T01:08:45.737273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b63a5f1f0a41938d7ecba52e32a2bd5adbb7903b6798d48dce7299c64344636b

Aliases

arxiv: quant-ph/0412051 · arxiv_version: quant-ph/0412051v2 · doi: 10.48550/arxiv.quant-ph/0412051 · pith_short_12: WY5F6HYKIGJY · pith_short_16: WY5F6HYKIGJY27WL · pith_short_8: WY5F6HYK

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/WY5F6HYKIGJY27WLUUXDFIV5LL \
  | 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: b63a5f1f0a41938d7ecba52e32a2bd5adbb7903b6798d48dce7299c64344636b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a8d8d18e53ded3d24cbe1db08d22a9f673fe850ea33ea1def5defbc519dcf5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2004-12-07T13:20:20Z",
    "title_canon_sha256": "0208accdaa198f0af91852b1f24b5896e2ef2d336f35926ca1bec6a5079a455e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0412051",
    "kind": "arxiv",
    "version": 2
  }
}