Pith Number

pith:XLL4EIPW

pith:2013:XLL4EIPWGZBAUF2IFMOXOLJ52S

not attested not anchored not stored refs pending

Global and local behavior of zeros of nonpositive type

Henk de Snoo, Henrik Winkler, Michal Wojtylak

arxiv:1306.1117 v1 · 2013-05-31 · math.CV · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XLL4EIPWGZBAUF2IFMOXOLJ52S}

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	2026-05-18T03:21:44.289852Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bad7c221f636420a17482b1d772d3dd481d27cdc6871de36648c7aa576935b56

Aliases

arxiv: 1306.1117 · arxiv_version: 1306.1117v1 · doi: 10.48550/arxiv.1306.1117 · pith_short_12: XLL4EIPWGZBA · pith_short_16: XLL4EIPWGZBAUF2I · pith_short_8: XLL4EIPW

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/XLL4EIPWGZBAUF2IFMOXOLJ52S \
  | 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: bad7c221f636420a17482b1d772d3dd481d27cdc6871de36648c7aa576935b56

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab2451cff95f400d66a20fa7ba26f9aed3ece2e883516fb6c137f605a7a6abf7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-05-31T12:03:54Z",
    "title_canon_sha256": "567771efb3b9e3f4d2f6695d253833e422dc7ce306688edfe60d701c33cb2c94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.1117",
    "kind": "arxiv",
    "version": 1
  }
}