Pith Number

pith:OVUVIUKZ

pith:2016:OVUVIUKZ3PLPAI5NAUBKA5YV2J

not attested not anchored not stored refs pending

Cyclically presented groups with length four positive relators

Forrest W. Parker, William A. Bogley

arxiv:1611.05496 v3 · 2016-11-16 · 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{OVUVIUKZ3PLPAI5NAUBKA5YV2J}

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	2026-05-18T00:54:15.285902Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7569545159dbd6f023ad0502a07715d25f700b00762e4a5f6f8eac5e01990d5c

Aliases

arxiv: 1611.05496 · arxiv_version: 1611.05496v3 · doi: 10.48550/arxiv.1611.05496 · pith_short_12: OVUVIUKZ3PLP · pith_short_16: OVUVIUKZ3PLPAI5N · pith_short_8: OVUVIUKZ

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/OVUVIUKZ3PLPAI5NAUBKA5YV2J \
  | 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: 7569545159dbd6f023ad0502a07715d25f700b00762e4a5f6f8eac5e01990d5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb4737027cc98489b876d37d3316a43832b96b1197257f6ffa323d611acfbc46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-11-16T23:20:33Z",
    "title_canon_sha256": "8d969b40c13c7a06d193e029a196203f69ae9329dd56b3ebf6f93a121d90afc9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.05496",
    "kind": "arxiv",
    "version": 3
  }
}