Pith Number

pith:OMFRM353

pith:1997:OMFRM353G7AACIXCWJQFVZGVMY

not attested not anchored not stored refs pending

Monge Distance between Quantum States

Karol Zyczkowski, Poland), Wojciech Slomczynski (Krakow

arxiv:quant-ph/9711011 v1 · 1997-11-11 · 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{OMFRM353G7AACIXCWJQFVZGVMY}

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	2026-05-18T01:05:00.597997Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

730b166fbb37c00122e2b2605ae4d566250447c3702a805812039579773c6e7a

Aliases

arxiv: quant-ph/9711011 · arxiv_version: quant-ph/9711011v1 · doi: 10.48550/arxiv.quant-ph/9711011 · pith_short_12: OMFRM353G7AA · pith_short_16: OMFRM353G7AACIXC · pith_short_8: OMFRM353

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/OMFRM353G7AACIXCWJQFVZGVMY \
  | 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: 730b166fbb37c00122e2b2605ae4d566250447c3702a805812039579773c6e7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "689c68e6f14cc02ec26e7fc1ff7b376ca5f66e9558c1b28beab67737d261f25b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "1997-11-11T23:23:08Z",
    "title_canon_sha256": "87dcc73ed8600e26238f5f32e1c42860af34d245dbe3a10ba124a05fca0009ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/9711011",
    "kind": "arxiv",
    "version": 1
  }
}