Pith Number

pith:MX6JQHKS

pith:2001:MX6JQHKSA2PXPUQKZC4NJQRAVI

not attested not anchored not stored refs pending

Universal state inversion and concurrence in arbitrary dimensions

Carlton M. Caves, G. J. Milburn, M. Hillery, Pranaw Rungta, V. Buzek

arxiv:quant-ph/0102040 v2 · 2001-02-07 · 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{MX6JQHKSA2PXPUQKZC4NJQRAVI}

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.

Cited by

1 paper in Pith

Polarization, Maximal Concurrence, and Pure States in High-Energy Collisions

Receipt and verification

First computed	2026-07-04T16:28:54.429432Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65fc981d52069f77d20ac8b8d4c220aa0a79b75f091b44f5e631ace389661825

Aliases

arxiv: quant-ph/0102040 · arxiv_version: quant-ph/0102040v2 · doi: 10.48550/arxiv.quant-ph/0102040 · pith_short_12: MX6JQHKSA2PX · pith_short_16: MX6JQHKSA2PXPUQK · pith_short_8: MX6JQHKS

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/MX6JQHKSA2PXPUQKZC4NJQRAVI \
  | 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: 65fc981d52069f77d20ac8b8d4c220aa0a79b75f091b44f5e631ace389661825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ebef8f7b4ace21fcdec6f0a70fa62f9fa95ab350bc11afb8e38f5f47edf5b08",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2001-02-07T05:45:07Z",
    "title_canon_sha256": "df23d67092e07bf3d0b7634c8d767d906f30779abbed49cad05d87c2115d232c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0102040",
    "kind": "arxiv",
    "version": 2
  }
}