Pith Number

pith:PEUQWGDC

pith:2006:PEUQWGDCOH2QHXL2BFUD4PTNOX

not attested not anchored not stored refs pending

NMR experiment factors numbers with Gauss sums

Ilya Sh. Averbukh, Klaus Mueller, Michael Mehring, Wolfgang Merkel, Wolfgang Schleich

arxiv:quant-ph/0609174 v1 · 2006-09-22 · 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{PEUQWGDCOH2QHXL2BFUD4PTNOX}

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	2026-05-18T01:37:54.215065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79290b186271f503dd7a09683e3e6d75c9b94a9874fb814bfaf9e599613aa147

Aliases

arxiv: quant-ph/0609174 · arxiv_version: quant-ph/0609174v1 · doi: 10.48550/arxiv.quant-ph/0609174 · pith_short_12: PEUQWGDCOH2Q · pith_short_16: PEUQWGDCOH2QHXL2 · pith_short_8: PEUQWGDC

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/PEUQWGDCOH2QHXL2BFUD4PTNOX \
  | 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: 79290b186271f503dd7a09683e3e6d75c9b94a9874fb814bfaf9e599613aa147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6addb1ed8793b52a1569322dac3f13a5249278ca7d51851ae212f851b68d4d29",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2006-09-22T14:26:47Z",
    "title_canon_sha256": "e60ca1f609e15327b56ca82f87a06d43be50ab8a99b126aec8b7e4809a73a7d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0609174",
    "kind": "arxiv",
    "version": 1
  }
}