Pith Number

pith:TUJMZJRU

pith:2010:TUJMZJRUOPXNX7DYV6PX55ODKH

not attested not anchored not stored refs pending

Spectral properties of discrete alloy-type models

Ivan Veseli\'c, Martin Tautenhahn

arxiv:1004.2385 v1 · 2010-04-14 · math.SP · 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{TUJMZJRUOPXNX7DYV6PX55ODKH}

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	2026-05-18T00:37:38.451909Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9d12cca63473eedbfc78af9f7ef5c351c35264f421fa470f9f2f30c2f8035e79

Aliases

arxiv: 1004.2385 · arxiv_version: 1004.2385v1 · doi: 10.48550/arxiv.1004.2385 · pith_short_12: TUJMZJRUOPXN · pith_short_16: TUJMZJRUOPXNX7DY · pith_short_8: TUJMZJRU

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/TUJMZJRUOPXNX7DYV6PX55ODKH \
  | 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: 9d12cca63473eedbfc78af9f7ef5c351c35264f421fa470f9f2f30c2f8035e79

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fea19fedaca0d9d5efc40687c7d52588b70709864cff1de59c2b855ab6911d64",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-04-14T12:39:03Z",
    "title_canon_sha256": "72f3ad3fffcf36d697c37b19906af5a8c5fade78f2c42a7ea406658db2ef7f07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2385",
    "kind": "arxiv",
    "version": 1
  }
}