Pith Number

pith:L4IAWWT3

pith:2015:L4IAWWT3PBIWDPY66WVU3WOZ3A

not attested not anchored not stored refs pending

The existence of an isolated band in a system of three particles in an optical lattice

Ahmad M. Khalkhuzhaev, Gianfausto Dell'Antonio, Saidakhmat N. Lakaev

arxiv:1512.01983 v1 · 2015-12-07 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L4IAWWT3PBIWDPY66WVU3WOZ3A}

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	2026-05-18T01:25:09.128375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f100b5a7b785161bf1ef5ab4dd9d9d80e1ec23b70c1e311e259a07107c6acb1

Aliases

arxiv: 1512.01983 · arxiv_version: 1512.01983v1 · doi: 10.48550/arxiv.1512.01983 · pith_short_12: L4IAWWT3PBIW · pith_short_16: L4IAWWT3PBIWDPY6 · pith_short_8: L4IAWWT3

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/L4IAWWT3PBIWDPY66WVU3WOZ3A \
  | 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: 5f100b5a7b785161bf1ef5ab4dd9d9d80e1ec23b70c1e311e259a07107c6acb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e84fd0447605c82a0d4e05ab92775bd7e0c17268524b6103e0933b614a8d8df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2015-12-07T11:15:02Z",
    "title_canon_sha256": "70c502f538b4e9fbff0a873c4d9e8cd70f5edba096d9a780203824f0f31017bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01983",
    "kind": "arxiv",
    "version": 1
  }
}