Pith Number

pith:MKNEALPC

pith:2006:MKNEALPCJYPKEZXN43RESXN42P

not attested not anchored not stored refs pending

The Projective Line Over the Finite Quotient Ring GF(2)[$x$]/$< x^{3} - x>$ and Quantum Entanglement I. Theoretical Background

Metod Saniga (ASTRINSTSAV), Michel Planat (FEMTO-ST)

arxiv:quant-ph/0603051 v2 · 2006-03-07 · 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{MKNEALPCJYPKEZXN43RESXN42P}

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	2026-05-18T01:37:57.099261Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

629a402de24e1ea266ede6e2495dbcd3c7db220cd83609668c0471b47a02c1f5

Aliases

arxiv: quant-ph/0603051 · arxiv_version: quant-ph/0603051v2 · doi: 10.48550/arxiv.quant-ph/0603051 · pith_short_12: MKNEALPCJYPK · pith_short_16: MKNEALPCJYPKEZXN · pith_short_8: MKNEALPC

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/MKNEALPCJYPKEZXN43RESXN42P \
  | 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: 629a402de24e1ea266ede6e2495dbcd3c7db220cd83609668c0471b47a02c1f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c4f835d5b1580a1e67acddbb29a73a711b30c91793b75dcb3bea389869eed605",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-03-07T10:44:40Z",
    "title_canon_sha256": "d58e9ffa8919341c9571b4a5a67f12d3483aa8ded782af5d2fbb63c7cb921d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0603051",
    "kind": "arxiv",
    "version": 2
  }
}