Pith Number

pith:KLSA2RBP

pith:2011:KLSA2RBP5G4JJAJF5H2TNZXTIJ

not attested not anchored not stored refs pending

Groups whose geodesics are locally testable

Derek F. Holt, Sarah Rees, S. Hermiller

arxiv:1111.0775 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{KLSA2RBP5G4JJAJF5H2TNZXTIJ}

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	2026-05-18T04:09:36.964646Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52e40d442fe9b8948125e9f536e6f3424c989844a8fe283b8dd116e9918ae996

Aliases

arxiv: 1111.0775 · arxiv_version: 1111.0775v1 · doi: 10.48550/arxiv.1111.0775 · pith_short_12: KLSA2RBP5G4J · pith_short_16: KLSA2RBP5G4JJAJF · pith_short_8: KLSA2RBP

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/KLSA2RBP5G4JJAJF5H2TNZXTIJ \
  | 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: 52e40d442fe9b8948125e9f536e6f3424c989844a8fe283b8dd116e9918ae996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4aa3c8a17fd1594378d6d14010956c422f5daba71b84c6f116039bc78393ae54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-11-03T10:31:36Z",
    "title_canon_sha256": "f91a2476b293247ae8b4a8e394156a39f299ec9fcea24b7e25e40e7ab94a2930"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.0775",
    "kind": "arxiv",
    "version": 1
  }
}