Pith Number

pith:64MBLU2D

pith:2008:64MBLU2DDYZDMHTTVN52XYCP2X

not attested not anchored not stored refs pending

Universal approximation of multi-copy states and universal quantum lossless data compression

Masahito Hayashi

arxiv:0806.1091 v2 · 2008-06-06 · 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{64MBLU2DDYZDMHTTVN52XYCP2X}

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	2026-05-18T04:19:32.729912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f71815d3431e32361e73ab7babe04fd5faba52a241ee475e8695cc76c8e57c5e

Aliases

arxiv: 0806.1091 · arxiv_version: 0806.1091v2 · doi: 10.48550/arxiv.0806.1091 · pith_short_12: 64MBLU2DDYZD · pith_short_16: 64MBLU2DDYZDMHTT · pith_short_8: 64MBLU2D

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/64MBLU2DDYZDMHTTVN52XYCP2X \
  | 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: f71815d3431e32361e73ab7babe04fd5faba52a241ee475e8695cc76c8e57c5e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca3d7d6e8ed32d66b7883448a124cfcb0060d8336b6b861c33d0cea8f1e3e91c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2008-06-06T04:43:02Z",
    "title_canon_sha256": "80b08a2c454fd56aed7c67b463ee02b591243451ba73f474e0eca67599550eed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.1091",
    "kind": "arxiv",
    "version": 2
  }
}