Pith Number

pith:HAEZGVN2

pith:2015:HAEZGVN2DNMRXPJNQRSD4VKUNA

not attested not anchored not stored refs pending

Large algebras of singular functions vanishing on prescribed sets

Luis Bernal-Gonz\'alez, Mar\'ia del Carmen Calder\'on-Moreno

arxiv:1512.02025 v1 · 2015-12-07 · 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{HAEZGVN2DNMRXPJNQRSD4VKUNA}

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	2026-05-18T01:25:09.779905Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38099355ba1b591bbd2d84643e55546804d8e909e46bb8d48d37dbd99bad4897

Aliases

arxiv: 1512.02025 · arxiv_version: 1512.02025v1 · doi: 10.48550/arxiv.1512.02025 · pith_short_12: HAEZGVN2DNMR · pith_short_16: HAEZGVN2DNMRXPJN · pith_short_8: HAEZGVN2

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/HAEZGVN2DNMRXPJNQRSD4VKUNA \
  | 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: 38099355ba1b591bbd2d84643e55546804d8e909e46bb8d48d37dbd99bad4897

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79ef58aa830ef508cc133a3d18d745bba0a7be3264f8e4e5bb67e1da8750d710",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-12-07T13:00:06Z",
    "title_canon_sha256": "d9cb4331375eb52041754bb38e9f1f15e9ddaf040ba2f7dcc892f9ef3df562bb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02025",
    "kind": "arxiv",
    "version": 1
  }
}