Pith Number

pith:DHPNCPQI

pith:2011:DHPNCPQIFWKIVANEJ5BLEOHZCT

not attested not anchored not stored refs pending

Spectral Density of Jacobi Matrices with small deviations

Alain Bourget

arxiv:1102.5380 v1 · 2011-02-26 · 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{DHPNCPQIFWKIVANEJ5BLEOHZCT}

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	2026-05-18T04:27:47.112441Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

19ded13e082d948a81a44f42b238f914f98c420a0765580656de4e91b55b58e6

Aliases

arxiv: 1102.5380 · arxiv_version: 1102.5380v1 · doi: 10.48550/arxiv.1102.5380 · pith_short_12: DHPNCPQIFWKI · pith_short_16: DHPNCPQIFWKIVANE · pith_short_8: DHPNCPQI

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/DHPNCPQIFWKIVANEJ5BLEOHZCT \
  | 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: 19ded13e082d948a81a44f42b238f914f98c420a0765580656de4e91b55b58e6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "96ba93b0626550047aa978a1235901174052c7429a8f76125d67489fcf910270",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-02-26T00:23:21Z",
    "title_canon_sha256": "82dc750d9ef877059d20219088bd6eaf83a66367c7c301c279846f0eca199ade"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5380",
    "kind": "arxiv",
    "version": 1
  }
}