Pith Number

pith:RGWD3KRD

pith:2014:RGWD3KRDHCXY6Q6L5S47HDXC5N

not attested not anchored not stored refs pending

Wannier-Stark states in double-periodic lattices I: one-dimensional lattices

A.R. Kolovsky, D.N. Maksimov, E.N. Bulgakov

arxiv:1409.3624 v2 · 2014-09-09 · 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{RGWD3KRDHCXY6Q6L5S47HDXC5N}

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	2026-05-18T01:59:38.544950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89ac3daa2338af8f43cbecb9f38ee2eb4cac1a6c9584e6aec0637480fef1a4ca

Aliases

arxiv: 1409.3624 · arxiv_version: 1409.3624v2 · doi: 10.48550/arxiv.1409.3624 · pith_short_12: RGWD3KRDHCXY · pith_short_16: RGWD3KRDHCXY6Q6L · pith_short_8: RGWD3KRD

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/RGWD3KRDHCXY6Q6L5S47HDXC5N \
  | 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: 89ac3daa2338af8f43cbecb9f38ee2eb4cac1a6c9584e6aec0637480fef1a4ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe874d8efeafdc858e9e7072c4ae089a0bd8397789909514d9b6c88ae38dc10c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2014-09-09T00:18:54Z",
    "title_canon_sha256": "86f936a998e92e2fbb18945f43adf4a498b99379a34e9c7520a355659ca72df8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.3624",
    "kind": "arxiv",
    "version": 2
  }
}