Pith Number

pith:5WUHVFD7

pith:2016:5WUHVFD7QKBQXRKN2HVDMJEKRQ

not attested not anchored not stored refs pending

Sieve functions in arithmetic bands, II

Giovanni Coppola, Maurizio Laporta

arxiv:1612.08628 v1 · 2016-11-24 · 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{5WUHVFD7QKBQXRKN2HVDMJEKRQ}

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	2026-05-17T23:56:30.373749Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eda87a947f82830bc54dd1ea36248a8c3846aba0c3981cbba50201ee53d5b70a

Aliases

arxiv: 1612.08628 · arxiv_version: 1612.08628v1 · doi: 10.48550/arxiv.1612.08628 · pith_short_12: 5WUHVFD7QKBQ · pith_short_16: 5WUHVFD7QKBQXRKN · pith_short_8: 5WUHVFD7

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/5WUHVFD7QKBQXRKN2HVDMJEKRQ \
  | 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: eda87a947f82830bc54dd1ea36248a8c3846aba0c3981cbba50201ee53d5b70a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4accb13096f1494c7b1a2ab9e75ad8603de5ae2fffeae8b4763f075c0dfe5599",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-24T16:44:30Z",
    "title_canon_sha256": "cebd000ce6769155aaf8fde04a63c41ca07fd06169d9a8c7d701de25cac8092a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.08628",
    "kind": "arxiv",
    "version": 1
  }
}