Pith Number

pith:7BWFLIIK

pith:2012:7BWFLIIKLHRP7M32VGNJUKL4YF

not attested not anchored not stored refs pending

Factorization of numbers with Gauss sums: II. Suggestions for implementations with chirped laser pulses

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

arxiv:1210.6487 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{7BWFLIIKLHRP7M32VGNJUKL4YF}

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	2026-05-18T03:42:24.645088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f86c55a10a59e2ffb37aa99a9a297cc17943fbb34ced38520f49add90455e9f2

Aliases

arxiv: 1210.6487 · arxiv_version: 1210.6487v1 · doi: 10.48550/arxiv.1210.6487 · pith_short_12: 7BWFLIIKLHRP · pith_short_16: 7BWFLIIKLHRP7M32 · pith_short_8: 7BWFLIIK

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/7BWFLIIKLHRP7M32VGNJUKL4YF \
  | 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: f86c55a10a59e2ffb37aa99a9a297cc17943fbb34ced38520f49add90455e9f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a53ad0233713a4e5c86bfc0973c6423af98ed3108e545faa09b1eab8583a9ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-10-24T11:04:00Z",
    "title_canon_sha256": "9733f4a766fa34b8c27ccaa4a18a84b98f268005362e0e5a2aac981f14b7f6d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.6487",
    "kind": "arxiv",
    "version": 1
  }
}