Pith Number

pith:RHDG23EV

pith:2012:RHDG23EVVM5PE4KJ6S2UMRGBWA

not attested not anchored not stored refs pending

Factorization of numbers with Gauss sums: I. Mathematical background

B. Girard, I. Sh. Averbukh, S. W\"olk, W. Merkel, W. P. Schleich

arxiv:1210.6474 v1 · 2012-10-24 · 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{RHDG23EVVM5PE4KJ6S2UMRGBWA}

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	2026-05-18T03:42:24.684554Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89c66d6c95ab3af27149f4b54644c1b03b1c52c72c63ac065e64b756a7f855fc

Aliases

arxiv: 1210.6474 · arxiv_version: 1210.6474v1 · doi: 10.48550/arxiv.1210.6474 · pith_short_12: RHDG23EVVM5P · pith_short_16: RHDG23EVVM5PE4KJ · pith_short_8: RHDG23EV

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/RHDG23EVVM5PE4KJ6S2UMRGBWA \
  | 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: 89c66d6c95ab3af27149f4b54644c1b03b1c52c72c63ac065e64b756a7f855fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f7ffa1c8109a48b26618f5bb1d30ef615c7f2e76c829a41121930acb20140e0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-24T10:00:46Z",
    "title_canon_sha256": "4296648aa92555aabdefc4cb20c1c2db329e5de08966f50f200c8bbcd06df860"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6474",
    "kind": "arxiv",
    "version": 1
  }
}