Pith Number

pith:IM2PA4HR

pith:2010:IM2PA4HRYUYMOC3FPKLAISZIDW

not attested not anchored not stored refs pending

$\ell$-adic properties of smallest parts functions

Jeremy Lovejoy, Kathrin Bringmann, Scott Ahlgren

arxiv:1011.6079 v1 · 2010-11-28 · 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{IM2PA4HRYUYMOC3FPKLAISZIDW}

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	2026-05-18T03:21:33.891602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4334f070f1c530c70b657a96044b281d8e7d6defa488c5f4473c911640722f12

Aliases

arxiv: 1011.6079 · arxiv_version: 1011.6079v1 · doi: 10.48550/arxiv.1011.6079 · pith_short_12: IM2PA4HRYUYM · pith_short_16: IM2PA4HRYUYMOC3F · pith_short_8: IM2PA4HR

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/IM2PA4HRYUYMOC3FPKLAISZIDW \
  | 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: 4334f070f1c530c70b657a96044b281d8e7d6defa488c5f4473c911640722f12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc3c095745beb4bf2a71089009aaa5d4ff9221fade846de70ae4b452d2be1d5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2010-11-28T20:05:02Z",
    "title_canon_sha256": "32223527d56829184f7d49da37ae0fbd4c04d730a98507f3fc761bfb04e983c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.6079",
    "kind": "arxiv",
    "version": 1
  }
}