Pith Number

pith:A7WI5S7T

pith:2019:A7WI5S7TJUGQXXDCR4RVYNBSJJ

not attested not anchored not stored refs pending

Mean value theorems for a class of density-like arithmetic functions

Lucas Reis

arxiv:1908.01198 v2 · 2019-08-03 · 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{A7WI5S7TJUGQXXDCR4RVYNBSJJ}

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	2026-07-05T01:40:55.473238Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07ec8ecbf34d0d0bdc628f235c34324a7229fd667e5e016227ee41c9aed18f23

Aliases

arxiv: 1908.01198 · arxiv_version: 1908.01198v2 · doi: 10.48550/arxiv.1908.01198 · pith_short_12: A7WI5S7TJUGQ · pith_short_16: A7WI5S7TJUGQXXDC · pith_short_8: A7WI5S7T

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/A7WI5S7TJUGQXXDCR4RVYNBSJJ \
  | 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: 07ec8ecbf34d0d0bdc628f235c34324a7229fd667e5e016227ee41c9aed18f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fcef572a63e95d287ab4134b336e2f617ed43909905b42ddb5479e33069f6496",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2019-08-03T16:41:17Z",
    "title_canon_sha256": "89f0f19deddc8a452bcb0385fd3f4836113005187101669859038c1fc4081345"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.01198",
    "kind": "arxiv",
    "version": 2
  }
}