Pith Number

pith:AYZHUGJA

pith:2016:AYZHUGJALW7L2LTCDXFI52AA3Y

not attested not anchored not stored refs pending

Wannier functions and Z_2 invariants in time-reversal symmetric topological insulators

Domenico Monaco, Horia D. Cornean, Stefan Teufel

arxiv:1603.06752 v2 · 2016-03-22 · math-ph · cond-mat.mes-hall · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AYZHUGJALW7L2LTCDXFI52AA3Y}

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	2026-05-18T00:52:58.833513Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

06327a19205dbebd2e621dca8ee800de0331a947274db7c4036c4d1a983d4c73

Aliases

arxiv: 1603.06752 · arxiv_version: 1603.06752v2 · doi: 10.48550/arxiv.1603.06752 · pith_short_12: AYZHUGJALW7L · pith_short_16: AYZHUGJALW7L2LTC · pith_short_8: AYZHUGJA

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/AYZHUGJALW7L2LTCDXFI52AA3Y \
  | 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: 06327a19205dbebd2e621dca8ee800de0331a947274db7c4036c4d1a983d4c73

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eccdb903ed81c201b07f3696da7461aabf265ec4ae635cbe05d6f6f915499ae",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-22T12:21:42Z",
    "title_canon_sha256": "cd333349475f55244ba53f04a3b886709f99dda038ea619c381559157d193b20"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06752",
    "kind": "arxiv",
    "version": 2
  }
}