pith. sign in
Pith Number

pith:VDCYBLUE

pith:2011:VDCYBLUEX6QBVO557WUBWGHJPW
not attested not anchored not stored refs pending

Spectral Gap Amplification

Rolando D. Somma, Sergio Boixo

arxiv:1110.2494 v3 · 2011-10-11 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{VDCYBLUEX6QBVO557WUBWGHJPW}

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 2026-05-18T03:27:33.077569Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

a8c580ae84bfa01abbbdfda81b18e97da952af94129d3d1ab62c058cd5b3ffc3

Aliases

arxiv: 1110.2494 · arxiv_version: 1110.2494v3 · doi: 10.48550/arxiv.1110.2494 · pith_short_12: VDCYBLUEX6QB · pith_short_16: VDCYBLUEX6QBVO55 · pith_short_8: VDCYBLUE
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/VDCYBLUEX6QBVO557WUBWGHJPW \
  | 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: a8c580ae84bfa01abbbdfda81b18e97da952af94129d3d1ab62c058cd5b3ffc3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "a0c035661892987706c95f1a756065928610a3fd9535d3270a082097caae8850",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-10-11T20:04:56Z",
    "title_canon_sha256": "6491e53af0089a8ad9af0a4edc8bd53ac1cba37e1c1277f81e09de8362122a14"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.2494",
    "kind": "arxiv",
    "version": 3
  }
}