Pith Number

pith:4RD3HO7A

pith:2013:4RD3HO7AVPXOLMR4YEYECGVZYR

not attested not anchored not stored refs pending

On the quality of complementary bounds for eigenvalues

A. Hobiny, L. Boulton

arxiv:1311.5181 v2 · 2013-11-20 · math.SP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4RD3HO7AVPXOLMR4YEYECGVZYR}

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	2026-05-18T02:45:31.795065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e447b3bbe0abeee5b23cc130411ab9c4457e32a686fc25fe94bba2dbef138904

Aliases

arxiv: 1311.5181 · arxiv_version: 1311.5181v2 · doi: 10.48550/arxiv.1311.5181 · pith_short_12: 4RD3HO7AVPXO · pith_short_16: 4RD3HO7AVPXOLMR4 · pith_short_8: 4RD3HO7A

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/4RD3HO7AVPXOLMR4YEYECGVZYR \
  | 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: e447b3bbe0abeee5b23cc130411ab9c4457e32a686fc25fe94bba2dbef138904

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb01ba0b32c2e369a6e3e46e9475b44c2ca5343b87a14a9d3023ce184ab38917",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2013-11-20T19:26:52Z",
    "title_canon_sha256": "5612bc207c5f0a813fba377bd34a0011838ef42c867c2470ee55338f8a3fcbaa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5181",
    "kind": "arxiv",
    "version": 2
  }
}