Pith Number

pith:PMTWRXU6

pith:2018:PMTWRXU6VGGZVYJUGK3YDICI4V

not attested not anchored not stored refs pending

Variational formulation for Wannier functions with entangled band structure

Anil Damle, Antoine Levitt, Lin Lin

arxiv:1801.08572 v1 · 2018-01-25 · physics.comp-ph · math.NA · physics.chem-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{PMTWRXU6VGGZVYJUGK3YDICI4V}

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	2026-05-18T00:25:03.553943Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b2768de9ea98d9ae13432b781a048e57a5684f174c905addf075ca4d1e48e70

Aliases

arxiv: 1801.08572 · arxiv_version: 1801.08572v1 · doi: 10.48550/arxiv.1801.08572 · pith_short_12: PMTWRXU6VGGZ · pith_short_16: PMTWRXU6VGGZVYJU · pith_short_8: PMTWRXU6

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/PMTWRXU6VGGZVYJUGK3YDICI4V \
  | 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: 7b2768de9ea98d9ae13432b781a048e57a5684f174c905addf075ca4d1e48e70

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "beee7afdb1fabb7312e95edbd60948ad36e463cae1b38bd97fae1ee557c5c2cf",
    "cross_cats_sorted": [
      "math.NA",
      "physics.chem-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.comp-ph",
    "submitted_at": "2018-01-25T19:22:50Z",
    "title_canon_sha256": "8d3e1cc3fa56e4a8d06fc8d980551ca94f743a892d2b62ac0b4f67251682508e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.08572",
    "kind": "arxiv",
    "version": 1
  }
}