Pith Number

pith:T6KYNSZQ

pith:2013:T6KYNSZQSTFJHHROE4FJH4YQ7M

not attested not anchored not stored refs pending

The divisor function and divisor problem

Aleksandar Ivi\'c

arxiv:1308.5782 v2 · 2013-08-27 · 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{T6KYNSZQSTFJHHROE4FJH4YQ7M}

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	2026-05-18T03:11:00.192367Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9f9586cb3094ca939e2e270a93f310fb238d8da48759bf2db7a1519c992b86cc

Aliases

arxiv: 1308.5782 · arxiv_version: 1308.5782v2 · doi: 10.48550/arxiv.1308.5782 · pith_short_12: T6KYNSZQSTFJ · pith_short_16: T6KYNSZQSTFJHHRO · pith_short_8: T6KYNSZQ

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/T6KYNSZQSTFJHHROE4FJH4YQ7M \
  | 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: 9f9586cb3094ca939e2e270a93f310fb238d8da48759bf2db7a1519c992b86cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d82e6c462172a72bee3dab6a22f99581dbcc0d9ed9b37ec604429066deb598a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-08-27T07:44:40Z",
    "title_canon_sha256": "4b9c0a6868d961473232369255bd7c79ddf8b630a055678d281c24a965d33d2a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.5782",
    "kind": "arxiv",
    "version": 2
  }
}