Pith Number

pith:37D3ASTT

pith:2022:37D3ASTTSY4WOY4GESMP73J6KI

not attested not anchored not stored refs pending

Modified-operator method for the calculation of band diagrams of crystalline materials

Eric Canc\`es, Laurent Vidal, Muhammad Hassan

arxiv:2210.00442 v1 · 2022-10-02 · math.NA · cond-mat.mtrl-sci · cs.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{37D3ASTTSY4WOY4GESMP73J6KI}

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	2026-07-05T05:02:32.023911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfc7b04a7396396763862498ffed3e520ff8c52208366b3302b19fb1027f91b5

Aliases

arxiv: 2210.00442 · arxiv_version: 2210.00442v1 · doi: 10.48550/arxiv.2210.00442 · pith_short_12: 37D3ASTTSY4W · pith_short_16: 37D3ASTTSY4WOY4G · pith_short_8: 37D3ASTT

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/37D3ASTTSY4WOY4GESMP73J6KI \
  | 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: dfc7b04a7396396763862498ffed3e520ff8c52208366b3302b19fb1027f91b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "624158385744178c86b74103d56575c97005886d07bcdcca470a485d7bcd0808",
    "cross_cats_sorted": [
      "cond-mat.mtrl-sci",
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2022-10-02T07:09:18Z",
    "title_canon_sha256": "512fd3b238705486ee9eecefac6ace0f74046ead683d5103ca4ae04e470a80b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2210.00442",
    "kind": "arxiv",
    "version": 1
  }
}