Pith Number

pith:VM7ZK3DP

pith:2002:VM7ZK3DPRWVSZTJFM5GZ33IPSA

not attested not anchored not stored refs pending

Combinatorial Topology Of Multipartite Entangled States

Roman R. Zapatrin

arxiv:quant-ph/0207058 v3 · 2002-07-10 · 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{VM7ZK3DPRWVSZTJFM5GZ33IPSA}

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	2026-05-18T01:38:00.039591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab3f956c6f8dab2ccd25674d9ded0f901fcf7238dac8329925bda15fed746b44

Aliases

arxiv: quant-ph/0207058 · arxiv_version: quant-ph/0207058v3 · doi: 10.48550/arxiv.quant-ph/0207058 · pith_short_12: VM7ZK3DPRWVS · pith_short_16: VM7ZK3DPRWVSZTJF · pith_short_8: VM7ZK3DP

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/VM7ZK3DPRWVSZTJFM5GZ33IPSA \
  | 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: ab3f956c6f8dab2ccd25674d9ded0f901fcf7238dac8329925bda15fed746b44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b51fed379559638341847745344664f3b410379d689ab0658e1126933e6b9df5",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2002-07-10T10:55:25Z",
    "title_canon_sha256": "1759d72aa1cd0d7ed2f4b7e36b6126347124c0622ca919da42bfe28465679a16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0207058",
    "kind": "arxiv",
    "version": 3
  }
}