Pith Number

pith:HYICACKS

pith:2011:HYICACKSHXEZTJLHTDUVVZMZUK

not attested not anchored not stored refs pending

Star-free geodesic languages for groups

Derek F. Holt, Sarah Rees, S. Hermiller

arxiv:1111.0784 v1 · 2011-11-03 · 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{HYICACKSHXEZTJLHTDUVVZMZUK}

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	2026-05-18T04:09:36.958596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e102009523dc999a56798e95ae599a2b330b108b5319d99c518269480669e5d

Aliases

arxiv: 1111.0784 · arxiv_version: 1111.0784v1 · doi: 10.48550/arxiv.1111.0784 · pith_short_12: HYICACKSHXEZ · pith_short_16: HYICACKSHXEZTJLH · pith_short_8: HYICACKS

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/HYICACKSHXEZTJLHTDUVVZMZUK \
  | 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: 3e102009523dc999a56798e95ae599a2b330b108b5319d99c518269480669e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "708e8dd68a017ed095051f9eb019c0379ba6213bcb4bf6413f47d4174df4021a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-03T10:50:34Z",
    "title_canon_sha256": "0442efb720b23a25f61c588955da7c74c81a5c934f36597fe064e96e2d504097"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0784",
    "kind": "arxiv",
    "version": 1
  }
}