Pith Number

pith:SB4QYXMB

pith:2015:SB4QYXMBC64T4WX2FO37BP523B

not attested not anchored not stored refs pending

Zeros of sections of power series: deterministic and random

Jos\'e L. Fern\'andez

arxiv:1507.02843 v2 · 2015-07-10 · math.CV · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SB4QYXMBC64T4WX2FO37BP523B}

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	2026-05-18T00:56:04.674180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90790c5d8117b93e5afa2bb7f0bfbad86649374cce2ba717336f98b77d6d4539

Aliases

arxiv: 1507.02843 · arxiv_version: 1507.02843v2 · doi: 10.48550/arxiv.1507.02843 · pith_short_12: SB4QYXMBC64T · pith_short_16: SB4QYXMBC64T4WX2 · pith_short_8: SB4QYXMB

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/SB4QYXMBC64T4WX2FO37BP523B \
  | 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: 90790c5d8117b93e5afa2bb7f0bfbad86649374cce2ba717336f98b77d6d4539

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "168d92cf36f0f6badec49cc92de454bbae6cdfb77b050d90d41775b07069f110",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2015-07-10T10:53:55Z",
    "title_canon_sha256": "6a920373eabe88236a387305f0fb56cbc8844ffc5d6a8e574d2675b24895c35c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.02843",
    "kind": "arxiv",
    "version": 2
  }
}