Pith Number

pith:YVV5Y5WA

pith:2021:YVV5Y5WAWM56BWO5SRIMK6NWPO

not attested not anchored not stored refs pending

Random generation of direct sums of finite non-degenerate subspaces

Alice C. Niemeyer, Cheryl E. Praeger, S. P. Glasby

arxiv:2111.02198 v2 · 2021-11-03 · 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{YVV5Y5WAWM56BWO5SRIMK6NWPO}

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	2026-07-05T04:25:13.468379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c56bdc76c0b33be0d9dd9450c579b67b95f21ea22319ac00aec0f52f30524bcb

Aliases

arxiv: 2111.02198 · arxiv_version: 2111.02198v2 · doi: 10.48550/arxiv.2111.02198 · pith_short_12: YVV5Y5WAWM56 · pith_short_16: YVV5Y5WAWM56BWO5 · pith_short_8: YVV5Y5WA

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/YVV5Y5WAWM56BWO5SRIMK6NWPO \
  | 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: c56bdc76c0b33be0d9dd9450c579b67b95f21ea22319ac00aec0f52f30524bcb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3e9ab8b2f6129adc3a9aed42089719970e00745e876245aadb2c10512cc9d0c8",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2021-11-03T13:06:47Z",
    "title_canon_sha256": "a0206b02b245b0d3a1febafda2114ade4fe15361990e2fd1dacf08cced3cc878"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.02198",
    "kind": "arxiv",
    "version": 2
  }
}