Pith Number

pith:UE7GNP5W

pith:2010:UE7GNP5WE5F5CWP6IT7THDGTVQ

not attested not anchored not stored refs pending

Inverting a permutation is as hard as unordered search

Ashwin Nayak

arxiv:1007.2899 v3 · 2010-07-17 · 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{UE7GNP5WE5F5CWP6IT7THDGTVQ}

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

1 paper in Pith

Query and Depth Upper Bounds for Quantum Unitaries via Grover Search

Receipt and verification

First computed	2026-05-18T04:26:56.522228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a13e66bfb6274bd159fe44ff338cd3ac109b9f7b991893688c01d1da9a33617c

Aliases

arxiv: 1007.2899 · arxiv_version: 1007.2899v3 · doi: 10.48550/arxiv.1007.2899 · pith_short_12: UE7GNP5WE5F5 · pith_short_16: UE7GNP5WE5F5CWP6 · pith_short_8: UE7GNP5W

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/UE7GNP5WE5F5CWP6IT7THDGTVQ \
  | 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: a13e66bfb6274bd159fe44ff338cd3ac109b9f7b991893688c01d1da9a33617c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb7b34163c2a85b10d922593d39c49c674e909b010fe150cbc8592b833150a12",
    "cross_cats_sorted": [
      "cs.CC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-07-17T05:06:02Z",
    "title_canon_sha256": "f951f4e6aeeed38ccbe59031263f79464e9f12367f1be9de1cd5a8e9449a2b2b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2899",
    "kind": "arxiv",
    "version": 3
  }
}