Pith Number

pith:4T6LHM5C

pith:2011:4T6LHM5C2JZ3EY4SVTUMLL3GEO

not attested not anchored not stored refs pending

Search by quantum walks on two-dimensional grid without amplitude amplification

Alexander Rivosh, Andris Ambainis, Arturs Backurs, Nikolajs Nahimovs, Raitis Ozols

arxiv:1112.3337 v1 · 2011-12-14 · quant-ph · cs.CC · cs.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4T6LHM5C2JZ3EY4SVTUMLL3GEO}

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	2026-05-18T04:06:19.451418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4fcb3b3a2d273b26392ace8c5af66238e7e32e022d5b06f49c2adbb5b4bf54a

Aliases

arxiv: 1112.3337 · arxiv_version: 1112.3337v1 · doi: 10.48550/arxiv.1112.3337 · pith_short_12: 4T6LHM5C2JZ3 · pith_short_16: 4T6LHM5C2JZ3EY4S · pith_short_8: 4T6LHM5C

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/4T6LHM5C2JZ3EY4SVTUMLL3GEO \
  | 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: e4fcb3b3a2d273b26392ace8c5af66238e7e32e022d5b06f49c2adbb5b4bf54a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7215f2b251cc88d0ce8e61cabfcfea61de3ba20c7bab240979dc068823d727a4",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2011-12-14T20:55:56Z",
    "title_canon_sha256": "dc4b14a11e112d0e7e1109ee978b78b1faaea351a6ee4c31ba6fac7f8e1c4c4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3337",
    "kind": "arxiv",
    "version": 1
  }
}