Pith Number

pith:TRNOZ2GY

pith:2017:TRNOZ2GY4H6PJRPWL3WKALP2LC

not attested not anchored not stored refs pending

Single and double linear and nonlinear flatband chains: spectra and modes

Boris A. Malomed, Krzysztof B. Zegadlo, Marek Trippenbach, Nguyen Viet Hung, Nir Dror

arxiv:1705.09084 v1 · 2017-05-25 · nlin.PS · physics.atom-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRNOZ2GY4H6PJRPWL3WKALP2LC}

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	2026-05-18T00:38:52.097051Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c5aece8d8e1fcf4c5f65eeca02dfa58b0df96a82c9f9858c4cd5b561c40ef43

Aliases

arxiv: 1705.09084 · arxiv_version: 1705.09084v1 · doi: 10.48550/arxiv.1705.09084 · pith_short_12: TRNOZ2GY4H6P · pith_short_16: TRNOZ2GY4H6PJRPW · pith_short_8: TRNOZ2GY

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/TRNOZ2GY4H6PJRPWL3WKALP2LC \
  | 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: 9c5aece8d8e1fcf4c5f65eeca02dfa58b0df96a82c9f9858c4cd5b561c40ef43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7dfcf706f7153cab4a9165ecc014734723ad8c651dfd42f6af08ce54abab324",
    "cross_cats_sorted": [
      "physics.atom-ph",
      "physics.optics"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2017-05-25T08:12:08Z",
    "title_canon_sha256": "6d76588784b7891a059c773a332cdbb149feb7e3863ddd616cf725db71762a7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.09084",
    "kind": "arxiv",
    "version": 1
  }
}