Pith Number

pith:CYFPIVVA

pith:2013:CYFPIVVA4OJFQ2IYMT3436FOZK

not attested not anchored not stored refs pending

The Mean Square of Divisor Function

Ayyadurai Sankaranarayanan, Chaohua Jia

arxiv:1311.4041 v2 · 2013-11-16 · 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{CYFPIVVA4OJFQ2IYMT3436FOZK}

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	2026-05-18T02:55:49.697955Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

160af456a0e39258691864f7cdf8aecab8045078a769f34eca64e1c2bc985d17

Aliases

arxiv: 1311.4041 · arxiv_version: 1311.4041v2 · doi: 10.48550/arxiv.1311.4041 · pith_short_12: CYFPIVVA4OJF · pith_short_16: CYFPIVVA4OJFQ2IY · pith_short_8: CYFPIVVA

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/CYFPIVVA4OJFQ2IYMT3436FOZK \
  | 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: 160af456a0e39258691864f7cdf8aecab8045078a769f34eca64e1c2bc985d17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e55d5699669fbfba0bea4a37275dfb95741ebb33ef0971e985140376d3813539",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-11-16T10:00:26Z",
    "title_canon_sha256": "ee00048333f6b39e09027b09cd9deae71fd33e9a0c1a99dd64c96120b64f80af"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.4041",
    "kind": "arxiv",
    "version": 2
  }
}