Pith Number

pith:AFNPSFR4

pith:2010:AFNPSFR4LIFYQWL4U6TLDXWKL7

not attested not anchored not stored refs pending

About the Dedekind psi function in Pauli graphs

Michel R. P. Planat (FEMTO-ST)

arxiv:1012.1461 v1 · 2010-12-07 · quant-ph · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AFNPSFR4LIFYQWL4U6TLDXWKL7}

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	2026-05-18T04:15:28.318493Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

015af9163c5a0b88597ca7a6b1deca5ff548e39a4e781a36510e438bd1599965

Aliases

arxiv: 1012.1461 · arxiv_version: 1012.1461v1 · doi: 10.48550/arxiv.1012.1461 · pith_short_12: AFNPSFR4LIFY · pith_short_16: AFNPSFR4LIFYQWL4 · pith_short_8: AFNPSFR4

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/AFNPSFR4LIFYQWL4U6TLDXWKL7 \
  | 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: 015af9163c5a0b88597ca7a6b1deca5ff548e39a4e781a36510e438bd1599965

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd68890da1dcbd9b7d2f5783577fe585e66ef1edbfef724309f71e947681b94e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-12-07T11:03:01Z",
    "title_canon_sha256": "28278a8c6e1f1574431b73763dff8611d156d8c6f4d723f9c93008c7f3c8f886"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1461",
    "kind": "arxiv",
    "version": 1
  }
}