Pith Number

pith:JFUYWFZN

pith:2017:JFUYWFZNRKQP7QWLPS2AABWVTI

not attested not anchored not stored refs pending

Lower spectral radius and spectral mapping theorem for suprema preserving mappings

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

arxiv:1712.00340 v1 · 2017-11-29 · 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{JFUYWFZNRKQP7QWLPS2AABWVTI}

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	2026-05-18T00:29:06.498354Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49698b172d8aa0ffc2cb7cb40006d59a1b42558b1c5d9567306bd1b8f86e2a11

Aliases

arxiv: 1712.00340 · arxiv_version: 1712.00340v1 · doi: 10.48550/arxiv.1712.00340 · pith_short_12: JFUYWFZNRKQP · pith_short_16: JFUYWFZNRKQP7QWL · pith_short_8: JFUYWFZN

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/JFUYWFZNRKQP7QWLPS2AABWVTI \
  | 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: 49698b172d8aa0ffc2cb7cb40006d59a1b42558b1c5d9567306bd1b8f86e2a11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "728e55ecd56dee7d5b916e49eeb6957cdaf8a7294ee383508f94535cbb857406",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-11-29T21:47:17Z",
    "title_canon_sha256": "d8c31150818acc3bf5fb067b455c640d59df7f27b7d8970c07b1c001751a810e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.00340",
    "kind": "arxiv",
    "version": 1
  }
}