Pith Number

pith:XUMLWQUF

pith:2020:XUMLWQUFA25UN6LKSFBNXADJZ2

not attested not anchored not stored refs pending

On structures induced by the power sequences of $($\mathbb{Z}/ m\mathbb{Z}$, \cdot)$

Kelly Isham, Laura Monroe

arxiv:2002.10980 v1 · 2020-02-25 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUMLWQUFA25UN6LKSFBNXADJZ2}

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	2026-07-05T00:43:50.404471Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd18bb428506bb46f96a9142db8069cea289103100977c5cb6392997a3712c27

Aliases

arxiv: 2002.10980 · arxiv_version: 2002.10980v1 · doi: 10.48550/arxiv.2002.10980 · pith_short_12: XUMLWQUFA25U · pith_short_16: XUMLWQUFA25UN6LK · pith_short_8: XUMLWQUF

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/XUMLWQUFA25UN6LKSFBNXADJZ2 \
  | 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: bd18bb428506bb46f96a9142db8069cea289103100977c5cb6392997a3712c27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c812ef9d3d585f382b0ff01096a0f68d57228ec2a749a197fa32847caf4a11b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2020-02-25T15:44:52Z",
    "title_canon_sha256": "a285a066bc44f3e3f51c011fea8e89bf047045f71e48b785756369616731aadb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2002.10980",
    "kind": "arxiv",
    "version": 1
  }
}