Pith Number

pith:I4SGQJLG

pith:2013:I4SGQJLG33WVLMBDMP5FSRKJGN

not attested not anchored not stored refs pending

A note on a generalization of the Hadamard quotient theorem

Vesselin Dimitrov

arxiv:1309.1920 v1 · 2013-09-08 · 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{I4SGQJLG33WVLMBDMP5FSRKJGN}

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	2026-05-18T03:13:57.029368Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4724682566deed55b02363fa59454933445de4cc55c1732350ca75a1bdea64c8

Aliases

arxiv: 1309.1920 · arxiv_version: 1309.1920v1 · doi: 10.48550/arxiv.1309.1920 · pith_short_12: I4SGQJLG33WV · pith_short_16: I4SGQJLG33WVLMBD · pith_short_8: I4SGQJLG

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/I4SGQJLG33WVLMBDMP5FSRKJGN \
  | 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: 4724682566deed55b02363fa59454933445de4cc55c1732350ca75a1bdea64c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fe02ceba778e41b2385b1ba4e3aa03b294464f4e6b5948262b44c39d0a069b3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-08T01:33:09Z",
    "title_canon_sha256": "4e115acfd0e851af7069a8ccfd2e894aab184be0b27217c65964b1aad2ee7562"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1920",
    "kind": "arxiv",
    "version": 1
  }
}