Pith Number

pith:53HVAXZX

pith:2005:53HVAXZXLHJJBMSJLG5DLC4QX3

not attested not anchored not stored refs pending

Reconstruction of tridiagonal matrices from spectral data

Carlos Tomei, Nicolau C. Saldanha, Ricardo S. Leite

arxiv:math/0508099 v1 · 2005-08-04 · math.NA · cs.NA · 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{53HVAXZXLHJJBMSJLG5DLC4QX3}

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	2026-06-03T22:06:17.340756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eecf505f3759d290b24959ba358b90bed77c56b6fa0387e0409db55b7bc03663

Aliases

arxiv: math/0508099 · arxiv_version: math/0508099v1 · doi: 10.48550/arxiv.math/0508099 · pith_short_12: 53HVAXZXLHJJ · pith_short_16: 53HVAXZXLHJJBMSJ · pith_short_8: 53HVAXZX

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/53HVAXZXLHJJBMSJLG5DLC4QX3 \
  | 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: eecf505f3759d290b24959ba358b90bed77c56b6fa0387e0409db55b7bc03663

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f3eab5ab0980d4f0307d023f8991b072cfebbf8c59eb56f13b2ead7f29782ce",
    "cross_cats_sorted": [
      "cs.NA",
      "math-ph",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.NA",
    "submitted_at": "2005-08-04T20:06:08Z",
    "title_canon_sha256": "e1046158f747605dc356cc33dfa0c0104b1d970163485b448e9298abdbf70cdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0508099",
    "kind": "arxiv",
    "version": 1
  }
}