Pith Number

pith:GX4GM63A

pith:2014:GX4GM63ANNBLB7PLZWU7E3CHL4

not attested not anchored not stored refs pending

On an asymptotic behavior of the divisor function $\tau(n)$

Tigran Hakobyan

arxiv:1406.3698 v2 · 2014-06-14 · 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{GX4GM63ANNBLB7PLZWU7E3CHL4}

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	2026-05-18T01:22:48.883969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35f8667b606b42b0fdebcda9f26c475f1848155b84b5e2bebd66f4e6f304df6e

Aliases

arxiv: 1406.3698 · arxiv_version: 1406.3698v2 · doi: 10.48550/arxiv.1406.3698 · pith_short_12: GX4GM63ANNBL · pith_short_16: GX4GM63ANNBLB7PL · pith_short_8: GX4GM63A

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/GX4GM63ANNBLB7PLZWU7E3CHL4 \
  | 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: 35f8667b606b42b0fdebcda9f26c475f1848155b84b5e2bebd66f4e6f304df6e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20378eeef5ca94cba809966f23cd5283a39f1fb3b9dfef3bed290c0f062c233",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-06-14T07:53:12Z",
    "title_canon_sha256": "4aadfc607ae1579bf86d7ac4eb33d5e624c6f43b3fe3250473762363787cc629"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.3698",
    "kind": "arxiv",
    "version": 2
  }
}