Pith Number

pith:XYW2ANSK

pith:2013:XYW2ANSKW3Y6HO2YEAZIC4QDTT

not attested not anchored not stored refs pending

Addendum to "Commensurations and Subgroups of Finite Index of Thompson's Group F"

Claas E. R\"over, Jos\'e Burillo, Sean Cleary

arxiv:1301.0616 v1 · 2013-01-03 · 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{XYW2ANSKW3Y6HO2YEAZIC4QDTT}

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	2026-05-18T02:38:17.430171Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be2da0364ab6f1e3bb5820328172039cc19c76fc266225e8bad2caadbe980510

Aliases

arxiv: 1301.0616 · arxiv_version: 1301.0616v1 · doi: 10.48550/arxiv.1301.0616 · pith_short_12: XYW2ANSKW3Y6 · pith_short_16: XYW2ANSKW3Y6HO2Y · pith_short_8: XYW2ANSK

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/XYW2ANSKW3Y6HO2YEAZIC4QDTT \
  | 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: be2da0364ab6f1e3bb5820328172039cc19c76fc266225e8bad2caadbe980510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f18272909a638d7bc124353519e2a0f485a12d413d614c4a802474e889337354",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-03T13:10:38Z",
    "title_canon_sha256": "21b7248950ba1b4ac4261ac44c81c1058890cd5dd2acb86cce8632fc70a35352"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.0616",
    "kind": "arxiv",
    "version": 1
  }
}