Pith Number

pith:T37Q4GWO

pith:2013:T37Q4GWOTP5B2IHQ5YP6RKZYX6

not attested not anchored not stored refs pending

Shifted convolution of divisor function $d_3$ and Ramanujan $\tau$ function

Ritabrata Munshi

arxiv:1304.0377 v1 · 2013-04-01 · 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{T37Q4GWOTP5B2IHQ5YP6RKZYX6}

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	2026-05-18T03:29:17.097722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eff0e1ace9bfa1d20f0ee1fe8ab38bf8215e37b76f2489aa50e5bfcfed72eea

Aliases

arxiv: 1304.0377 · arxiv_version: 1304.0377v1 · doi: 10.48550/arxiv.1304.0377 · pith_short_12: T37Q4GWOTP5B · pith_short_16: T37Q4GWOTP5B2IHQ · pith_short_8: T37Q4GWO

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/T37Q4GWOTP5B2IHQ5YP6RKZYX6 \
  | 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: 9eff0e1ace9bfa1d20f0ee1fe8ab38bf8215e37b76f2489aa50e5bfcfed72eea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "47f0b99c1518a50eca67cfaf2ee0a19b4c8363362b8b6e5cb4ea6c7b66ffbf75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-04-01T15:24:23Z",
    "title_canon_sha256": "79109ac430004bd5595e70e53b4f96096dc9da9b32d9e69255ab3ae6dbe8fa34"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.0377",
    "kind": "arxiv",
    "version": 1
  }
}