Pith Number

pith:B6DYDL4E

pith:2016:B6DYDL4EJMNBQYGMYQUGKYHW47

not attested not anchored not stored refs pending

The Localization Dichotomy for gapped periodic quantum systems

A. Pisante, D. Monaco, G. Panati, S. Teufel

arxiv:1612.09557 v1 · 2016-12-30 · cond-mat.mes-hall · cond-mat.mtrl-sci · math-ph · 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{B6DYDL4EJMNBQYGMYQUGKYHW47}

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	2026-05-18T00:53:41.226196Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0f8781af844b1a1860ccc4286560f6e7c33f5ca9169fdacdba4b818e08f3cf2d

Aliases

arxiv: 1612.09557 · arxiv_version: 1612.09557v1 · doi: 10.48550/arxiv.1612.09557 · pith_short_12: B6DYDL4EJMNB · pith_short_16: B6DYDL4EJMNBQYGM · pith_short_8: B6DYDL4E

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/B6DYDL4EJMNBQYGMYQUGKYHW47 \
  | 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: 0f8781af844b1a1860ccc4286560f6e7c33f5ca9169fdacdba4b818e08f3cf2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d32928042db28b2b290c428fbef4a2b7d0849220200a469ba39387d90f75c74c",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.mes-hall",
    "submitted_at": "2016-12-30T18:45:18Z",
    "title_canon_sha256": "da3520e3c7c8be0cbb39e1fdb1a33ddb2cef5162296f5119ce418f2c860c0ed6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09557",
    "kind": "arxiv",
    "version": 1
  }
}