Pith Number

pith:C75EN4N2

pith:2016:C75EN4N2CU32ER76ZJJMN3Y7YW

not attested not anchored not stored refs pending

Arithmetic functions in short intervals and the symmetric group

Brad Rodgers

arxiv:1609.02967 v3 · 2016-09-09 · 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{C75EN4N2CU32ER76ZJJMN3Y7YW}

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	2026-05-18T00:08:46.583998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17fa46f1ba1537a247feca52c6ef1fc5a6639734b8f92138bcca7140cff56bab

Aliases

arxiv: 1609.02967 · arxiv_version: 1609.02967v3 · doi: 10.48550/arxiv.1609.02967 · pith_short_12: C75EN4N2CU32 · pith_short_16: C75EN4N2CU32ER76 · pith_short_8: C75EN4N2

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/C75EN4N2CU32ER76ZJJMN3Y7YW \
  | 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: 17fa46f1ba1537a247feca52c6ef1fc5a6639734b8f92138bcca7140cff56bab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9fc33e2a981b95ce388fe7b2d8bbc77ac7e7246dd7a13f87b1df3174371620e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-09T23:00:55Z",
    "title_canon_sha256": "b893983e322dfcc5eec5290aaa8d64b9af73449ffe1097a7be9978d9b82df3eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02967",
    "kind": "arxiv",
    "version": 3
  }
}