Pith Number

pith:K4ZKUVLF

pith:2007:K4ZKUVLFTV6H6KRCNEGJUK2L4B

not attested not anchored not stored refs pending

Pairwise Concurrence Dynamics: A Four-Qubit Model

J. H. Eberly, M. Yonac, Ting Yu

arxiv:quant-ph/0701111 v3 · 2007-01-16 · 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{K4ZKUVLFTV6H6KRCNEGJUK2L4B}

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	2026-05-18T04:08:45.629630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5732aa55659d7c7f2a22690c9a2b4be06fddf2383306f831cba2b76755e94c73

Aliases

arxiv: quant-ph/0701111 · arxiv_version: quant-ph/0701111v3 · doi: 10.48550/arxiv.quant-ph/0701111 · pith_short_12: K4ZKUVLFTV6H · pith_short_16: K4ZKUVLFTV6H6KRC · pith_short_8: K4ZKUVLF

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/K4ZKUVLFTV6H6KRCNEGJUK2L4B \
  | 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: 5732aa55659d7c7f2a22690c9a2b4be06fddf2383306f831cba2b76755e94c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de84b4bc48e22800b61ee505473d2f77a95c5c7c6e0c607f7d3dba2cc720ff8d",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2007-01-16T16:20:16Z",
    "title_canon_sha256": "16ca31e1f8e7adffe7479f1df615c933a3e4b840c7ead82e7c51c4159c977deb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0701111",
    "kind": "arxiv",
    "version": 3
  }
}