Pith Number

pith:XVGUX5KA

pith:2020:XVGUX5KAJZOOEN6J4NECSPTPRJ

not attested not anchored not stored refs pending

Arithmetic of idempotents in $\mathbb{Z}/m \mathbb{Z}$

Kelly Isham, Laura Monroe

arxiv:2005.05248 v1 · 2020-05-11 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XVGUX5KAJZOOEN6J4NECSPTPRJ}

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	2026-07-05T01:01:58.513119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd4d4bf5404e5ce237c9e348293e6f8a62fa89464d441fb4ddd5893ecbf1c079

Aliases

arxiv: 2005.05248 · arxiv_version: 2005.05248v1 · doi: 10.48550/arxiv.2005.05248 · pith_short_12: XVGUX5KAJZOO · pith_short_16: XVGUX5KAJZOOEN6J · pith_short_8: XVGUX5KA

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/XVGUX5KAJZOOEN6J4NECSPTPRJ \
  | 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: bd4d4bf5404e5ce237c9e348293e6f8a62fa89464d441fb4ddd5893ecbf1c079

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ddc3a71d0fb6cb7782cd8bddb5249d818cbe2d9151b859242717b98ad014f9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2020-05-11T16:41:21Z",
    "title_canon_sha256": "7be2af9171becf227bd5e98e6c032d32b07d8bb201d008cd1977c1a2d6101d3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.05248",
    "kind": "arxiv",
    "version": 1
  }
}