Pith Number

pith:YMKHAB37

pith:2017:YMKHAB37NSBPWKPMD6UNVAPP2X

not attested not anchored not stored refs pending

Averages of arithmetic functions over principal ideals

E. Sofos, T.D. Browning

arxiv:1706.04331 v2 · 2017-06-14 · 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{YMKHAB37NSBPWKPMD6UNVAPP2X}

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	2026-05-18T00:20:17.096981Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c31470077f6c82fb29ec1fa8da81efd5e3b74e49908028d574f931729665c6f1

Aliases

arxiv: 1706.04331 · arxiv_version: 1706.04331v2 · doi: 10.48550/arxiv.1706.04331 · pith_short_12: YMKHAB37NSBP · pith_short_16: YMKHAB37NSBPWKPM · pith_short_8: YMKHAB37

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/YMKHAB37NSBPWKPMD6UNVAPP2X \
  | 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: c31470077f6c82fb29ec1fa8da81efd5e3b74e49908028d574f931729665c6f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0964eb55846e7451d84acb534df1c04156749b49c6b1bb2b2130351c838a2c9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-14T06:31:03Z",
    "title_canon_sha256": "94023a7e92bb02a2d917fe6502700381c1c4f2f9ba247774cf9fb8a2099fa968"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.04331",
    "kind": "arxiv",
    "version": 2
  }
}