Pith Number

pith:NU4JYPJB

pith:2010:NU4JYPJBVZ6G474XGXPTL4GWOZ

not attested not anchored not stored refs pending

Finite Projective Spaces, Geometric Spreads of Lines and Multi-Qubits

Metod Saniga (ASTRINSTSAV)

arxiv:1004.4967 v3 · 2010-04-28 · 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{NU4JYPJBVZ6G474XGXPTL4GWOZ}

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	2026-05-18T03:45:23.431404Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d389c3d21ae7c6e7f9735df35f0d6765ce341d57cebd007590cf51737dd7457

Aliases

arxiv: 1004.4967 · arxiv_version: 1004.4967v3 · doi: 10.48550/arxiv.1004.4967 · pith_short_12: NU4JYPJBVZ6G · pith_short_16: NU4JYPJBVZ6G474X · pith_short_8: NU4JYPJB

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/NU4JYPJBVZ6G474XGXPTL4GWOZ \
  | 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: 6d389c3d21ae7c6e7f9735df35f0d6765ce341d57cebd007590cf51737dd7457

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68bbad8996ceaad51d4ba1701d8fe01e88d5c6a285925be7db269b024f15573d",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-04-28T07:47:52Z",
    "title_canon_sha256": "b7a28d0e005e5f7864aebbf404bd33b20caa4a2673753061d37517012bc9e97a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.4967",
    "kind": "arxiv",
    "version": 3
  }
}