Pith Number

pith:HKHUWTRM

pith:2002:HKHUWTRMWSQ3P65PGT2IBULAXS

not attested not anchored not stored refs pending

Universal distortion-free entanglement concentration

Keiji Matsumoto, Masahito Hayashi

arxiv:quant-ph/0209030 v1 · 2002-09-04 · 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{HKHUWTRMWSQ3P65PGT2IBULAXS}

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

Robustness of Entanglement Manipulation for almost i.i.d. sources

Receipt and verification

First computed	2026-07-04T14:46:00.812239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8f4b4e2cb4a1b7fbaf34f480d160bcb7d8bb292a4e764b87313c2cdd7fa1ad

Aliases

arxiv: quant-ph/0209030 · arxiv_version: quant-ph/0209030v1 · doi: 10.48550/arxiv.quant-ph/0209030 · pith_short_12: HKHUWTRMWSQ3 · pith_short_16: HKHUWTRMWSQ3P65P · pith_short_8: HKHUWTRM

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/HKHUWTRMWSQ3P65PGT2IBULAXS \
  | 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: 3a8f4b4e2cb4a1b7fbaf34f480d160bcb7d8bb292a4e764b87313c2cdd7fa1ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba4f0dfd9b1cb29d27ffed578f7aee1b764e95598ca3a9dc0efb9fcb966ff34f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-09-04T02:33:43Z",
    "title_canon_sha256": "f134e41dcc9973261db369f9eb1d595e4433c207a34e191c60ac638002865e5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0209030",
    "kind": "arxiv",
    "version": 1
  }
}