Pith Number

pith:T5GF4P34

pith:2010:T5GF4P34XXUEDGGPGJM6MCCBZI

not attested not anchored not stored refs pending

Entanglement for multipartite systems of indistinguishable particles

Giuseppe Marmo, Janusz Grabowski, Marek Kus

arxiv:1012.0758 v3 · 2010-12-03 · math-ph · math.MP · 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{T5GF4P34XXUEDGGPGJM6MCCBZI}

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	2026-05-18T04:09:34.990354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f4c5e3f7cbde84198cf3259e60841ca2b25105166696bb5c7f10eabb61672c4

Aliases

arxiv: 1012.0758 · arxiv_version: 1012.0758v3 · doi: 10.48550/arxiv.1012.0758 · pith_short_12: T5GF4P34XXUE · pith_short_16: T5GF4P34XXUEDGGP · pith_short_8: T5GF4P34

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/T5GF4P34XXUEDGGPGJM6MCCBZI \
  | 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: 9f4c5e3f7cbde84198cf3259e60841ca2b25105166696bb5c7f10eabb61672c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50a4142dc2cc9be82a57d3d4c3a99545cb1bb799e883e4b25414219a0ae76754",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-12-03T15:07:26Z",
    "title_canon_sha256": "5c316960f5cde026831d59dafae93258d2f3cd3f45e386f36446d8b3392ab46a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0758",
    "kind": "arxiv",
    "version": 3
  }
}