Pith Number

pith:7LCLK7QN

pith:2025:7LCLK7QNM35KEJKZYIC3WYZ5LK

not attested not anchored not stored refs pending

Elasticity of Orders with Prime Conductor

Grant Moles, Jared Kettinger

arxiv:2504.17957 v4 · 2025-04-24 · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LCLK7QNM35KEJKZYIC3WYZ5LK}

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	2026-07-05T11:56:03.340677Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fac4b57e0d66faa22559c205bb633d5ab05c26ab8ab93abed7e0aa52609c02b9

Aliases

arxiv: 2504.17957 · arxiv_version: 2504.17957v4 · doi: 10.48550/arxiv.2504.17957 · pith_short_12: 7LCLK7QNM35K · pith_short_16: 7LCLK7QNM35KEJKZ · pith_short_8: 7LCLK7QN

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/7LCLK7QNM35KEJKZYIC3WYZ5LK \
  | 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: fac4b57e0d66faa22559c205bb633d5ab05c26ab8ab93abed7e0aa52609c02b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78278e517c93f514d5b2ed9ff4b623930a298a8da9f57beb96fcc46f6e337e55",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-04-24T21:59:39Z",
    "title_canon_sha256": "da03adf21f7a1817fc0ff3c7f327ef153af3c3a5c80972bf7c4983e9936c1c92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.17957",
    "kind": "arxiv",
    "version": 4
  }
}