Pith Number

pith:GKDJ2QUI

pith:2018:GKDJ2QUIXBOYB5MLZYDXHPFKGI

not attested not anchored not stored refs pending

X States of the Same Spectrum and Entanglement as All Two-Qubit States

Samuel R. Hedemann

arxiv:1802.03038 v1 · 2018-02-08 · 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{GKDJ2QUIXBOYB5MLZYDXHPFKGI}

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	2026-05-18T00:05:19.481514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32869d4288b85d80f58bce0773bcaa321488a841d90a29154535fb99d54c8ba1

Aliases

arxiv: 1802.03038 · arxiv_version: 1802.03038v1 · doi: 10.48550/arxiv.1802.03038 · pith_short_12: GKDJ2QUIXBOY · pith_short_16: GKDJ2QUIXBOYB5ML · pith_short_8: GKDJ2QUI

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/GKDJ2QUIXBOYB5MLZYDXHPFKGI \
  | 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: 32869d4288b85d80f58bce0773bcaa321488a841d90a29154535fb99d54c8ba1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c195cdd3ed5347b4cca7c0af1b11d671d5f7be54075f9b8591b49a1ad9b4ca0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2018-02-08T20:24:09Z",
    "title_canon_sha256": "74ec05fbc26a4feeeb22911dfb6cf6beed4103e7e0f079ff27d2dcb9460103d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03038",
    "kind": "arxiv",
    "version": 1
  }
}