Pith Number

pith:ZB7PD6JU

pith:2002:ZB7PD6JUHS65CMVIWN232K6XER

not attested not anchored not stored refs pending

General formulas for fixed-length quantum entanglement concentration

Masahito Hayashi

arxiv:quant-ph/0206187 v5 · 2002-06-27 · 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{ZB7PD6JUHS65CMVIWN232K6XER}

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	2026-05-18T00:58:04.900587Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c87ef1f9343cbdd132a8b375bd2bd72445b82a5a5a476ebe82b1d3f92c801a99

Aliases

arxiv: quant-ph/0206187 · arxiv_version: quant-ph/0206187v5 · doi: 10.48550/arxiv.quant-ph/0206187 · pith_short_12: ZB7PD6JUHS65 · pith_short_16: ZB7PD6JUHS65CMVI · pith_short_8: ZB7PD6JU

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/ZB7PD6JUHS65CMVIWN232K6XER \
  | 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: c87ef1f9343cbdd132a8b375bd2bd72445b82a5a5a476ebe82b1d3f92c801a99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c20b378d8a4fc0981d03cdf4c3dc2c8875d784d153eb9637af017e522c596fc3",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-06-27T07:43:22Z",
    "title_canon_sha256": "a8c2d18f2b80c69698ffc7a4e75e888fa23e059ddea8242db7a6bcf1a6b71fdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0206187",
    "kind": "arxiv",
    "version": 5
  }
}