Pith Number

pith:5J7O3NO6

pith:2014:5J7O3NO6NYTL6ALB3NMHS776ND

not attested not anchored not stored refs pending

Variational estimates for averages and truncated singular integrals along the prime numbers

Bartosz Trojan, Mariusz Mirek, Pavel Zorin-Kranich

arxiv:1410.3255 v1 · 2014-10-13 · math.CA · math.DS · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5J7O3NO6NYTL6ALB3NMHS776ND}

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	2026-05-18T00:41:08.525190Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea7eedb5de6e26bf0161db58797ffe68d1790561f2bea71d91c5d6135466df8d

Aliases

arxiv: 1410.3255 · arxiv_version: 1410.3255v1 · doi: 10.48550/arxiv.1410.3255 · pith_short_12: 5J7O3NO6NYTL · pith_short_16: 5J7O3NO6NYTL6ALB · pith_short_8: 5J7O3NO6

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/5J7O3NO6NYTL6ALB3NMHS776ND \
  | 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: ea7eedb5de6e26bf0161db58797ffe68d1790561f2bea71d91c5d6135466df8d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffd77e3a0fc719c83ff3aebf49558282a1a79cf0178abcd9a9358bd1141176c6",
    "cross_cats_sorted": [
      "math.DS",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2014-10-13T10:39:22Z",
    "title_canon_sha256": "c02f9ae423209febeba8ba670c1f81e38e11e31b76eeaa1f8bdff6bca3d9b4f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3255",
    "kind": "arxiv",
    "version": 1
  }
}