Pith Number

pith:R4VH2YW5

pith:2011:R4VH2YW55T6TK2A7IRA2ZBAUCU

not attested not anchored not stored refs pending

Bloch bundles, Marzari-Vanderbilt functional and maximally localized Wannier functions

Adriano Pisante, Gianluca Panati

arxiv:1112.6197 v3 · 2011-12-28 · 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{R4VH2YW55T6TK2A7IRA2ZBAUCU}

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	2026-05-18T03:12:22.685699Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8f2a7d62ddecfd35681f4441ac8414152596cdaf5f378e7cfb602af07c61f93c

Aliases

arxiv: 1112.6197 · arxiv_version: 1112.6197v3 · doi: 10.48550/arxiv.1112.6197 · pith_short_12: R4VH2YW55T6T · pith_short_16: R4VH2YW55T6TK2A7 · pith_short_8: R4VH2YW5

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/R4VH2YW55T6TK2A7IRA2ZBAUCU \
  | 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: 8f2a7d62ddecfd35681f4441ac8414152596cdaf5f378e7cfb602af07c61f93c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c2dac7243506c4293628064a1ae16b89c74616d5d373b78a5ee4563901674178",
    "cross_cats_sorted": [
      "cond-mat.mes-hall",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-12-28T22:56:33Z",
    "title_canon_sha256": "17bbd33509bcbd9b8efd043e7a48e8f5755e57290278ce3065305cef3ced3479"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6197",
    "kind": "arxiv",
    "version": 3
  }
}