Pith Number

pith:Z6JMXSC5

pith:2012:Z6JMXSC5E3IPIFLB744ECZLAKB

not attested not anchored not stored refs pending

Estimates of some integrals related to variations of smooth functions

Anatoly Neishtadt

arxiv:1209.5095 v2 · 2012-09-23 · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z6JMXSC5E3IPIFLB744ECZLAKB}

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	2026-05-18T02:49:18.587267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf92cbc85d26d0f41561ff38416560506ed6ed3dfd922a639b1c82edeb8428b7

Aliases

arxiv: 1209.5095 · arxiv_version: 1209.5095v2 · doi: 10.48550/arxiv.1209.5095 · pith_short_12: Z6JMXSC5E3IP · pith_short_16: Z6JMXSC5E3IPIFLB · pith_short_8: Z6JMXSC5

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/Z6JMXSC5E3IPIFLB744ECZLAKB \
  | 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: cf92cbc85d26d0f41561ff38416560506ed6ed3dfd922a639b1c82edeb8428b7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1bdddaa273181cec26d544d5a8e3eb42eaafb280605815d5a3143adf2b656599",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2012-09-23T18:24:58Z",
    "title_canon_sha256": "f15e38dbfe3bec6748e4194337de138d0425f4b9f280121d05aff21ba55e07e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.5095",
    "kind": "arxiv",
    "version": 2
  }
}