Pith Number

pith:HBMARECR

pith:2015:HBMARECRLTJADKUJT7RRKOSUWZ

not attested not anchored not stored refs pending

Left relatively convex subgroups

Warren Dicks, Yago Antol\'in, Zoran Sunic

arxiv:1503.01736 v1 · 2015-03-05 · 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{HBMARECRLTJADKUJT7RRKOSUWZ}

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	2026-05-18T02:25:33.044436Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38580890515cd201aa899fe3153a54b6498c5c0316b605080ce5e1275b6cdf7a

Aliases

arxiv: 1503.01736 · arxiv_version: 1503.01736v1 · doi: 10.48550/arxiv.1503.01736 · pith_short_12: HBMARECRLTJA · pith_short_16: HBMARECRLTJADKUJ · pith_short_8: HBMARECR

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/HBMARECRLTJADKUJT7RRKOSUWZ \
  | 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: 38580890515cd201aa899fe3153a54b6498c5c0316b605080ce5e1275b6cdf7a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eb519c6053dad9a28aa88be16c1d8168f1cf057efc7e1476124338b54c939c42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-05T19:18:25Z",
    "title_canon_sha256": "90286895ed89f079edf94c5e662efddbbf0005a3e019abc54ebeb5b6d3b5aa0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01736",
    "kind": "arxiv",
    "version": 1
  }
}