Pith Number

pith:ZNMIZR3Z

pith:2023:ZNMIZR3ZDTY5WTILRONJ2WRZQ4

not attested not anchored not stored refs pending

Extreme quantum states and processes, and extreme points of general spectrahedra in finite dimensional algebras

Giulio Chiribella

arxiv:2311.10929 v1 · 2023-11-18 · quant-ph · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZNMIZR3ZDTY5WTILRONJ2WRZQ4}

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	2026-07-05T07:14:24.838130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb588cc7791cf1db4d0b8b9a9d5a39872000a6b5c6ba9ae06a470911f535a4c0

Aliases

arxiv: 2311.10929 · arxiv_version: 2311.10929v1 · doi: 10.48550/arxiv.2311.10929 · pith_short_12: ZNMIZR3ZDTY5 · pith_short_16: ZNMIZR3ZDTY5WTIL · pith_short_8: ZNMIZR3Z

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/ZNMIZR3ZDTY5WTILRONJ2WRZQ4 \
  | 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: cb588cc7791cf1db4d0b8b9a9d5a39872000a6b5c6ba9ae06a470911f535a4c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1cdd4875fa8f79c81efbf6dcc139844d37cf4af6bc2c9d12e02649522d4235a6",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2023-11-18T01:31:16Z",
    "title_canon_sha256": "9ea73fa34409bd084562ec828fe7b5131b9caad52ebd229edd5224e306b9be57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2311.10929",
    "kind": "arxiv",
    "version": 1
  }
}