Pith Number

pith:HQ62RJ7W

pith:2010:HQ62RJ7WTGIPBFL2TLLAP6JZ4N

not attested not anchored not stored refs pending

A generalization of Osgood's test and a comparison criterion for integral equations with noise

J. E. Mac\'ias-D\'iaz, J. Villa, M. J. Ceballos-Lira

arxiv:1012.1843 v1 · 2010-12-08 · 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{HQ62RJ7WTGIPBFL2TLLAP6JZ4N}

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	2026-05-18T04:33:51.168356Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3c3da8a7f69990f0957a9ad607f939e36901a17d46307094bcfd2397004eb75b

Aliases

arxiv: 1012.1843 · arxiv_version: 1012.1843v1 · doi: 10.48550/arxiv.1012.1843 · pith_short_12: HQ62RJ7WTGIP · pith_short_16: HQ62RJ7WTGIPBFL2 · pith_short_8: HQ62RJ7W

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/HQ62RJ7WTGIPBFL2TLLAP6JZ4N \
  | 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: 3c3da8a7f69990f0957a9ad607f939e36901a17d46307094bcfd2397004eb75b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8873bd0c1b9965f109cd6bf3d4f1c571534afb4b0ae4317f3e00c89d8356183",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2010-12-08T20:12:51Z",
    "title_canon_sha256": "06e6158d962dc43f129461510df46741c0192934a3d76343e40520c81a4c97c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.1843",
    "kind": "arxiv",
    "version": 1
  }
}