Pith Number

pith:XF6APFHA

pith:2009:XF6APFHAVXJB5SD6TF2OUID2YP

not attested not anchored not stored refs pending

Quantum algorithms to solve the hidden shift problem for quadratics and for functions of large Gowers norm

Martin Roetteler

arxiv:0911.4724 v1 · 2009-11-24 · quant-ph · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XF6APFHAVXJB5SD6TF2OUID2YP}

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	2026-05-18T02:10:36.944256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b97c0794e0add21ec87e9974ea207ac3e83c1500a8fe44862bb319d036ac66a8

Aliases

arxiv: 0911.4724 · arxiv_version: 0911.4724v1 · doi: 10.48550/arxiv.0911.4724 · pith_short_12: XF6APFHAVXJB · pith_short_16: XF6APFHAVXJB5SD6 · pith_short_8: XF6APFHA

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/XF6APFHAVXJB5SD6TF2OUID2YP \
  | 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: b97c0794e0add21ec87e9974ea207ac3e83c1500a8fe44862bb319d036ac66a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dbd48f3cb1ecbde159fca94d5d0b35c0757812ffff1bfed4f55e6dcc05f27df",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2009-11-24T21:07:02Z",
    "title_canon_sha256": "8dc33f3c8714cce5e65d81e10212bbbc303d51d5afd7006dfb92cd62534b2c85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.4724",
    "kind": "arxiv",
    "version": 1
  }
}