Pith Number

pith:3QLXHMDF

pith:2016:3QLXHMDF2VIFXOBZQ4W5I27U4Y

not attested not anchored not stored refs pending

On the Bonsall cone spectral radius and the approximate point spectrum

Aljo\v{s}a Peperko, Vladimir M\"uller

arxiv:1612.01755 v1 · 2016-12-06 · 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{3QLXHMDF2VIFXOBZQ4W5I27U4Y}

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	2026-05-18T00:55:47.675530Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dc1773b065d5505bb839872dd46bf4e60c34e5cefc6386f662c47d87ae37cb07

Aliases

arxiv: 1612.01755 · arxiv_version: 1612.01755v1 · doi: 10.48550/arxiv.1612.01755 · pith_short_12: 3QLXHMDF2VIF · pith_short_16: 3QLXHMDF2VIFXOBZ · pith_short_8: 3QLXHMDF

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/3QLXHMDF2VIFXOBZQ4W5I27U4Y \
  | 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: dc1773b065d5505bb839872dd46bf4e60c34e5cefc6386f662c47d87ae37cb07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa5dfe9e12c371406498e4b14be12cfb2ece6bdac70991a5bd438a688a76ecf6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-12-06T11:15:05Z",
    "title_canon_sha256": "6fff7c50e39069051c5b04f9a2a7552959b1ce4dbe1930618b3d29e143b3fe27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01755",
    "kind": "arxiv",
    "version": 1
  }
}