Pith Number

pith:IVHUCSYS

pith:2016:IVHUCSYSEEYAAZU4MC2PCPD7FI

not attested not anchored not stored refs pending

Extremal Density Matrices for Qudit States

Armando Figueroa, Julio A. L\'opez-Sald\'ivar, Octavio Casta\~nos, Ram\'on L\'opez-Pe\~na

arxiv:1609.09835 v1 · 2016-09-30 · 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{IVHUCSYSEEYAAZU4MC2PCPD7FI}

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	2026-05-18T01:03:33.231379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

454f414b12213000669c60b4f13c7f2a3337f7bc2c44c16dd6811adb31d4e5b0

Aliases

arxiv: 1609.09835 · arxiv_version: 1609.09835v1 · doi: 10.48550/arxiv.1609.09835 · pith_short_12: IVHUCSYSEEYA · pith_short_16: IVHUCSYSEEYAAZU4 · pith_short_8: IVHUCSYS

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/IVHUCSYSEEYAAZU4MC2PCPD7FI \
  | 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: 454f414b12213000669c60b4f13c7f2a3337f7bc2c44c16dd6811adb31d4e5b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2406d18b50893c43b08855b24d62dc405e3ae198172e5a13d698e0e3bfba4376",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-09-30T17:53:32Z",
    "title_canon_sha256": "2b6b5de396508e250716e5aae57ed128a213b1dbb7fd1c7c3d5cd5b2803a0717"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09835",
    "kind": "arxiv",
    "version": 1
  }
}