Pith Number

pith:DY5AFIOB

pith:2012:DY5AFIOBDHAGOKYZVROCTFNCZN

not attested not anchored not stored refs pending

Diagonalization of quasi-uniform tridiagonal matrices

Leonardo Banchi, Ruggero Vaia

arxiv:1207.7307 v1 · 2012-07-31 · math-ph · math.MP · quant-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{DY5AFIOBDHAGOKYZVROCTFNCZN}

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	2026-05-18T02:14:18.316091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e3a02a1c119c0672b19ac5c2995a2cb558056db8f07c062e706d424e00c5236

Aliases

arxiv: 1207.7307 · arxiv_version: 1207.7307v1 · doi: 10.48550/arxiv.1207.7307 · pith_short_12: DY5AFIOBDHAG · pith_short_16: DY5AFIOBDHAGOKYZ · pith_short_8: DY5AFIOB

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/DY5AFIOBDHAGOKYZVROCTFNCZN \
  | 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: 1e3a02a1c119c0672b19ac5c2995a2cb558056db8f07c062e706d424e00c5236

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f85211d1446e4eecc282beb648d358c5bb233f0f4cf3ae9b23d4677d5d06ea47",
    "cross_cats_sorted": [
      "math.MP",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-31T16:33:16Z",
    "title_canon_sha256": "2f582192e3d1edd625c0b421039f89dfa00e784b8f991d0be3363c036ca7bcac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.7307",
    "kind": "arxiv",
    "version": 1
  }
}