Pith Number

pith:JI2TRMUH

pith:2005:JI2TRMUHCJL4XHC5PC3OJUCX4K

not attested not anchored not stored refs pending

Universal entanglement concentration

Keiji Matsumoto, Masahito Hayashi

arxiv:quant-ph/0509140 v2 · 2005-09-21 · 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{JI2TRMUHCJL4XHC5PC3OJUCX4K}

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	2026-05-18T03:24:19.760987Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a3538b2871257cb9c5d78b6e4d057e2968ceff750e0822f473e9bfaf51b9a72

Aliases

arxiv: quant-ph/0509140 · arxiv_version: quant-ph/0509140v2 · doi: 10.48550/arxiv.quant-ph/0509140 · pith_short_12: JI2TRMUHCJL4 · pith_short_16: JI2TRMUHCJL4XHC5 · pith_short_8: JI2TRMUH

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/JI2TRMUHCJL4XHC5PC3OJUCX4K \
  | 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: 4a3538b2871257cb9c5d78b6e4d057e2968ceff750e0822f473e9bfaf51b9a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e5b3222ae0c4eb7afa0e735e7e94a75a006ba92ef75da171ce6b17069f2ea1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-09-21T07:12:45Z",
    "title_canon_sha256": "b87145e889f9035a94611f11018fa5e3cd1a5b998d9cf92aaca1cd5c01928fb2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0509140",
    "kind": "arxiv",
    "version": 2
  }
}