Pith Number

pith:NTZ7ZOK6

pith:2012:NTZ7ZOK6IAGIIIL2G652SEJXC5

not attested not anchored not stored refs pending

Understanding and controlling N-dimensional quantum walks via dispersion relations. Application to the 2D and 3D Grover walks: Diabolical points and more

Alejandro Romanelli, Armando P\'erez, Eugenio Rold\'an, Germ\'an J. de Valc\'arcel, Margarida Hinarejos

arxiv:1212.3600 v2 · 2012-12-17 · 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{NTZ7ZOK6IAGIIIL2G652SEJXC5}

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	2026-05-18T03:02:21.210477Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cf3fcb95e400c84217a37bba9113717742b556813e4cb17a2caeb452e8d466d

Aliases

arxiv: 1212.3600 · arxiv_version: 1212.3600v2 · doi: 10.48550/arxiv.1212.3600 · pith_short_12: NTZ7ZOK6IAGI · pith_short_16: NTZ7ZOK6IAGIIIL2 · pith_short_8: NTZ7ZOK6

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/NTZ7ZOK6IAGIIIL2G652SEJXC5 \
  | 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: 6cf3fcb95e400c84217a37bba9113717742b556813e4cb17a2caeb452e8d466d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb7b3e4a3970f204c47c2b6472b1a48e8419b70b482095e24a7de7d6fbaae3b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2012-12-17T10:59:20Z",
    "title_canon_sha256": "3d86e032691764d723ffd311d71396ca7cf05d4c9cd0c44c07ab68993c67e64b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3600",
    "kind": "arxiv",
    "version": 2
  }
}