Pith Number

pith:2S3TITNW

pith:2017:2S3TITNWVQZLUKYFJSVLDGOIPD

not attested not anchored not stored refs pending

Some remarks on upper bounds for Weierstrass primary factors and their application in spectral theory

Marcel Hansmann

arxiv:1704.01810 v2 · 2017-04-06 · math.SP · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2S3TITNWVQZLUKYFJSVLDGOIPD}

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	2026-05-18T00:39:36.020185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d4b7344db6ac32ba2b054caab199c878f594354f2524f666abd2f809317b26c9

Aliases

arxiv: 1704.01810 · arxiv_version: 1704.01810v2 · doi: 10.48550/arxiv.1704.01810 · pith_short_12: 2S3TITNWVQZL · pith_short_16: 2S3TITNWVQZLUKYF · pith_short_8: 2S3TITNW

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/2S3TITNWVQZLUKYFJSVLDGOIPD \
  | 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: d4b7344db6ac32ba2b054caab199c878f594354f2524f666abd2f809317b26c9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a42fa19f257fba73d0c43a2ed58d505eb792d15d69fcfd5c2deed23360a41198",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2017-04-06T12:51:23Z",
    "title_canon_sha256": "14327c90031cb7bb74b0550cf5a277fd14ee940cf016ef29875080a11d9f9926"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.01810",
    "kind": "arxiv",
    "version": 2
  }
}