Pith Number

pith:ZD5HRLY6

pith:2010:ZD5HRLY6R5IGNK4KBABEZVKJMZ

not attested not anchored not stored refs pending

Powers of Elements in Jordan Loops

Kyle Pula

arxiv:1008.0700 v1 · 2010-08-04 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZD5HRLY6R5IGNK4KBABEZVKJMZ}

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	2026-05-18T04:42:35.840586Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8fa78af1e8f5066ab8a08024cd549664372af25bd56ea45f858db952debc204

Aliases

arxiv: 1008.0700 · arxiv_version: 1008.0700v1 · doi: 10.48550/arxiv.1008.0700 · pith_short_12: ZD5HRLY6R5IG · pith_short_16: ZD5HRLY6R5IGNK4K · pith_short_8: ZD5HRLY6

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/ZD5HRLY6R5IGNK4KBABEZVKJMZ \
  | 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: c8fa78af1e8f5066ab8a08024cd549664372af25bd56ea45f858db952debc204

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "32195e89ffe6ed14f502d622ead013013df32d8916af9e21664e3047458da864",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-08-04T05:23:30Z",
    "title_canon_sha256": "8fc1df133e05898f1a90e12b4dead61c8f64afd55135269f9f08e765779cb9bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.0700",
    "kind": "arxiv",
    "version": 1
  }
}