Pith Number

pith:IFHUMSJP

pith:2020:IFHUMSJPHRCNOM3TQMT5NK667F

not attested not anchored not stored refs pending

Guaranteed a posteriori bounds for eigenvalues and eigenvectors: multiplicities and clusters

Benjamin Stamm (CCSE), Cermics), Eric Canc\`es (CERMICS, Genevi\`eve Dusson, Martin Vohral\'ik (SERENA, MATHERIALS), Yvon Maday (LJLL (UMR\_7598))

arxiv:2008.04140 v1 · 2020-08-10 · math.NA · 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{IFHUMSJPHRCNOM3TQMT5NK667F}

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	2026-07-05T01:26:00.242551Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

414f46492f3c44d733738327d6abdef9441e51570570461c7b5fd84733319ab2

Aliases

arxiv: 2008.04140 · arxiv_version: 2008.04140v1 · doi: 10.48550/arxiv.2008.04140 · pith_short_12: IFHUMSJPHRCN · pith_short_16: IFHUMSJPHRCNOM3T · pith_short_8: IFHUMSJP

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/IFHUMSJPHRCNOM3TQMT5NK667F \
  | 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: 414f46492f3c44d733738327d6abdef9441e51570570461c7b5fd84733319ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd5a21cc2a85df8850a354487ac5719a9c7d4cd27fd251d86ef5a2240ceeb492",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2020-08-10T14:10:58Z",
    "title_canon_sha256": "aa66c8f0e0eb237048f1be15acd76dc31d1cb7c88fb2f1161b891a865da71a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.04140",
    "kind": "arxiv",
    "version": 1
  }
}