Pith Number

pith:2KAEDD65

pith:2012:2KAEDD65YALTAPTJOIADJBXQQA

not attested not anchored not stored refs pending

On arithmetic sums involving divisor functions in two variables

Adama Diene, Mohamed El Bachraoui

arxiv:1211.5233 v1 · 2012-11-22 · 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{2KAEDD65YALTAPTJOIADJBXQQA}

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	2026-05-18T03:40:04.946402Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d280418fddc017303e6972003486f0800ca4382d92ab251e3aa77afde2f8d68f

Aliases

arxiv: 1211.5233 · arxiv_version: 1211.5233v1 · doi: 10.48550/arxiv.1211.5233 · pith_short_12: 2KAEDD65YALT · pith_short_16: 2KAEDD65YALTAPTJ · pith_short_8: 2KAEDD65

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/2KAEDD65YALTAPTJOIADJBXQQA \
  | 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: d280418fddc017303e6972003486f0800ca4382d92ab251e3aa77afde2f8d68f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7d8d457c8f576b20e90a2319d1272b103ce0efb3ad4b2b334390c81163ecfc38",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-11-22T08:58:52Z",
    "title_canon_sha256": "f109b886f0412989449c383a52514397b25a412038d682643860b7522dcc05a3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.5233",
    "kind": "arxiv",
    "version": 1
  }
}