Pith Number

pith:XHIFA5TM

pith:2024:XHIFA5TMXG3LCO4EGB2LW3ZXAS

not attested not anchored not stored refs pending

Radiative transport in a periodic structure with band crossings

Alexander B. Watson, Kunlun Qi, Li Wang

arxiv:2402.06828 v2 · 2024-02-09 · math-ph · math.AP · math.MP · 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{XHIFA5TMXG3LCO4EGB2LW3ZXAS}

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	2026-07-05T09:32:42.181804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9d050766cb9b6b13b843074bb6f3704ad0ab575204e68b9b82bf6e5690e4589

Aliases

arxiv: 2402.06828 · arxiv_version: 2402.06828v2 · doi: 10.48550/arxiv.2402.06828 · pith_short_12: XHIFA5TMXG3L · pith_short_16: XHIFA5TMXG3LCO4E · pith_short_8: XHIFA5TM

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/XHIFA5TMXG3LCO4EGB2LW3ZXAS \
  | 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: b9d050766cb9b6b13b843074bb6f3704ad0ab575204e68b9b82bf6e5690e4589

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45ab1e4ae825c886cd5e9303057bb32df334c79dbe2f525ebc9a300b74abf302",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2024-02-09T23:34:32Z",
    "title_canon_sha256": "270e0e15b20182aa0fad86170f597658618e5e1bf7cc9ac777ac6e19c6a2e0b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2402.06828",
    "kind": "arxiv",
    "version": 2
  }
}