Pith Number

pith:WEP7C5NP

pith:2016:WEP7C5NPX2PTMKG4LT3FEEI256

not attested not anchored not stored refs pending

A simple proof of the detectability lemma and spectral gap amplification

Anurag Anshu, Itai Arad, Thomas Vidick

arxiv:1602.01210 v3 · 2016-02-03 · quant-ph · cond-mat.str-el

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WEP7C5NPX2PTMKG4LT3FEEI256}

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	2026-05-18T01:13:15.433929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b11ff175afbe9f3628dc5cf652111aef91fd50aff6dd2a828323d08bdec43b05

Aliases

arxiv: 1602.01210 · arxiv_version: 1602.01210v3 · doi: 10.48550/arxiv.1602.01210 · pith_short_12: WEP7C5NPX2PT · pith_short_16: WEP7C5NPX2PTMKG4 · pith_short_8: WEP7C5NP

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/WEP7C5NPX2PTMKG4LT3FEEI256 \
  | 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: b11ff175afbe9f3628dc5cf652111aef91fd50aff6dd2a828323d08bdec43b05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "deb2b85870ebdecd9a27567209f5725e0ef16fe4722427d6ca1096893c473f42",
    "cross_cats_sorted": [
      "cond-mat.str-el"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2016-02-03T07:04:14Z",
    "title_canon_sha256": "1b238894c9f056591062ce0d6f274823388958682020f2c354f8a1f3fe5d30ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.01210",
    "kind": "arxiv",
    "version": 3
  }
}