Pith Number

pith:AAQQJ25V

pith:2011:AAQQJ25VFLN3FXXPWK3XRPOFRJ

not attested not anchored not stored refs pending

Segre maps and entanglement for multipartite systems of indistinguishable particles

Giuseppe Marmo, Janusz Grabowski, Marek Kus

arxiv:1111.4812 v2 · 2011-11-21 · 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{AAQQJ25VFLN3FXXPWK3XRPOFRJ}

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	2026-05-18T00:52:08.776384Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

002104ebb52adbb2deefb2b778bdc58a7afdee457a9fc8d9aa505e3934a68bee

Aliases

arxiv: 1111.4812 · arxiv_version: 1111.4812v2 · doi: 10.48550/arxiv.1111.4812 · pith_short_12: AAQQJ25VFLN3 · pith_short_16: AAQQJ25VFLN3FXXP · pith_short_8: AAQQJ25V

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/AAQQJ25VFLN3FXXPWK3XRPOFRJ \
  | 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: 002104ebb52adbb2deefb2b778bdc58a7afdee457a9fc8d9aa505e3934a68bee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59d2a3486d5647255fa6348b9385c0401b839098752696d08b53045b90c11293",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-11-21T10:20:50Z",
    "title_canon_sha256": "ad5ac618107922035061484cb7199ae2dc54f72ce863dacc2d58a6d91a692ac7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4812",
    "kind": "arxiv",
    "version": 2
  }
}