Pith Number

pith:NHR6WGH6

pith:2016:NHR6WGH6ZHZLWFMSRLL34LTYA7

not attested not anchored not stored refs pending

Inequalities between remainders of quadratures

Andrzej Komisarski, Szymon W\k{a}sowicz

arxiv:1612.08086 v1 · 2016-12-23 · 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{NHR6WGH6ZHZLWFMSRLL34LTYA7}

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	2026-05-18T00:54:04.943850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69e3eb18fec9f2bb15928ad7be2e7807d66a0956707876e1f41a6be889b39264

Aliases

arxiv: 1612.08086 · arxiv_version: 1612.08086v1 · doi: 10.48550/arxiv.1612.08086 · pith_short_12: NHR6WGH6ZHZL · pith_short_16: NHR6WGH6ZHZLWFMS · pith_short_8: NHR6WGH6

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/NHR6WGH6ZHZLWFMSRLL34LTYA7 \
  | 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: 69e3eb18fec9f2bb15928ad7be2e7807d66a0956707876e1f41a6be889b39264

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1576c788f02875a471efd1050ea841d31d54f8436ab2f8398a0ef186d8e4b05e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-12-23T20:37:55Z",
    "title_canon_sha256": "432cbc851c3bf0a58fdf19c05f036d3c8bbf70672bc99766c191125b3d25086c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08086",
    "kind": "arxiv",
    "version": 1
  }
}