Pith Number

pith:2PELY6RL

pith:2010:2PELY6RLS4ODGBQMCVD53YJZZP

not attested not anchored not stored refs pending

The Convolution Ring of Arithmetic Functions and Symmetric Polynomials

Huilan Li, Trueman MacHenry

arxiv:1009.1892 v1 · 2010-09-09 · 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{2PELY6RLS4ODGBQMCVD53YJZZP}

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	2026-05-18T04:41:05.723280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3c8bc7a2b971c33060c1547dde139cbd1deb16223f266ebd45dd0f6484ad7b6

Aliases

arxiv: 1009.1892 · arxiv_version: 1009.1892v1 · doi: 10.48550/arxiv.1009.1892 · pith_short_12: 2PELY6RLS4OD · pith_short_16: 2PELY6RLS4ODGBQM · pith_short_8: 2PELY6RL

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/2PELY6RLS4ODGBQMCVD53YJZZP \
  | 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: d3c8bc7a2b971c33060c1547dde139cbd1deb16223f266ebd45dd0f6484ad7b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6e4e493afff385b8620f7ca0b69b4be1b3f1d03f98f48de1d244661b07d0a579",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-09-09T21:15:53Z",
    "title_canon_sha256": "52ba309e7587887029d1893bcec751df5bcdb05de4d1005ea6e7e6c71a4a717d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.1892",
    "kind": "arxiv",
    "version": 1
  }
}