Pith Number

pith:2G7BMUUN

pith:2011:2G7BMUUN4LLGXYW4X25RQ45FMJ

not attested not anchored not stored refs pending

Span Programs for Functions with Constant-Sized 1-certificates

Aleksandrs Belovs

arxiv:1105.4024 v1 · 2011-05-20 · 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{2G7BMUUN4LLGXYW4X25RQ45FMJ}

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.

Cited by

2 papers in Pith

Lower overhead fault-tolerant building blocks for noisy quantum computers

Tight Quantum Lower Bound for k-Distinctness

Receipt and verification

First computed	2026-05-18T04:21:50.151295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1be16528de2d66be2dcbebb1873a5625222c998a0cc2c7b285c560782735bfe

Aliases

arxiv: 1105.4024 · arxiv_version: 1105.4024v1 · doi: 10.48550/arxiv.1105.4024 · pith_short_12: 2G7BMUUN4LLG · pith_short_16: 2G7BMUUN4LLGXYW4 · pith_short_8: 2G7BMUUN

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/2G7BMUUN4LLGXYW4X25RQ45FMJ \
  | 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: d1be16528de2d66be2dcbebb1873a5625222c998a0cc2c7b285c560782735bfe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e04e07b1cef496dfbaff272fff6ab732d68e2862adcf83549510b5c56ff60e6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-05-20T07:12:35Z",
    "title_canon_sha256": "0b61ccbb90aa2178b5b00784fe7adbfff126bfd9986ed26c637618c92eef9b5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4024",
    "kind": "arxiv",
    "version": 1
  }
}