Pith Number

pith:ZA6LU6VQ

pith:2026:ZA6LU6VQHTNHGLTBJ7NWDFRUSR

not attested not anchored not stored refs pending

A resolution of Erd\H{o}s Problem 1061 on the sum-of-divisors function

Eric Li (Trinity College, University of Cambridge)

arxiv:2606.25849 v1 · 2026-06-24 · 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{ZA6LU6VQHTNHGLTBJ7NWDFRUSR}

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	2026-06-25T01:18:41.048894Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c83cba7ab03cda732e614fdb6196349444761af6d4fde208d484e5f77779d341

Aliases

arxiv: 2606.25849 · arxiv_version: 2606.25849v1 · doi: 10.48550/arxiv.2606.25849 · pith_short_12: ZA6LU6VQHTNH · pith_short_16: ZA6LU6VQHTNHGLTB · pith_short_8: ZA6LU6VQ

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/ZA6LU6VQHTNHGLTBJ7NWDFRUSR \
  | 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: c83cba7ab03cda732e614fdb6196349444761af6d4fde208d484e5f77779d341

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc90839d14e0dc4faa41b14a1fd2c34aed2bc6d5e091437704dd6644b2ba9b11",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-24T13:59:53Z",
    "title_canon_sha256": "c2c2ae39f3771848ea068cbb74a0e04135d4e2eb80173adfcc132dd9b3ad1caf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.25849",
    "kind": "arxiv",
    "version": 1
  }
}