Pith Number

pith:ZZZVL6KT

pith:2017:ZZZVL6KTFN2CBI3W6FGOFZEWUV

not attested not anchored not stored refs pending

On multivariable averages of divisor functions

L\'aszl\'o T\'oth, Wenguang Zhai

arxiv:1711.04257 v2 · 2017-11-12 · 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{ZZZVL6KTFN2CBI3W6FGOFZEWUV}

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	2026-05-17T23:45:00.022835Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce7355f9532b7420a376f14ce2e496a565ded1c1be71320f63f3ab8041decfca

Aliases

arxiv: 1711.04257 · arxiv_version: 1711.04257v2 · doi: 10.48550/arxiv.1711.04257 · pith_short_12: ZZZVL6KTFN2C · pith_short_16: ZZZVL6KTFN2CBI3W · pith_short_8: ZZZVL6KT

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/ZZZVL6KTFN2CBI3W6FGOFZEWUV \
  | 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: ce7355f9532b7420a376f14ce2e496a565ded1c1be71320f63f3ab8041decfca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d41a936798bede3d34735f70b7d25408e3cec49f991878d6d6548b2d5da8dbca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-11-12T09:17:31Z",
    "title_canon_sha256": "8c24029822d5e74b8a5db1de781be08c0cea6ccca68a2c99b8a278bf0a5c94a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.04257",
    "kind": "arxiv",
    "version": 2
  }
}