Pith Number

pith:QP4FEKT5

pith:2020:QP4FEKT5XWNXQMBHUQ65NIVJOH

not attested not anchored not stored refs pending

On the pseudo-manifold of quantum states

Davide Franco, Francesco D'Andrea

arxiv:2011.04488 v2 · 2020-11-09 · math.OA · math-ph · math.DG · 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{QP4FEKT5XWNXQMBHUQ65NIVJOH}

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	2026-07-05T03:43:38.327850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

83f8522a7dbd9b783027a43dd6a2a971caeb42de7c32b155d53a10f972418c51

Aliases

arxiv: 2011.04488 · arxiv_version: 2011.04488v2 · doi: 10.48550/arxiv.2011.04488 · pith_short_12: QP4FEKT5XWNX · pith_short_16: QP4FEKT5XWNXQMBH · pith_short_8: QP4FEKT5

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/QP4FEKT5XWNXQMBHUQ65NIVJOH \
  | 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: 83f8522a7dbd9b783027a43dd6a2a971caeb42de7c32b155d53a10f972418c51

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e155d8c5f673f0ab73ac8de9afdd6cc6ae00d410fad2c21efbc576970b82936",
    "cross_cats_sorted": [
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2020-11-09T15:15:06Z",
    "title_canon_sha256": "8e21e923791c165a70d562b74603160d7507618f16acb011e07a5118388847e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.04488",
    "kind": "arxiv",
    "version": 2
  }
}