Pith Number

pith:FRHHLFIY

pith:2012:FRHHLFIYGMQGCODYRXSYO6MZMM

not attested not anchored not stored refs pending

Finiteness properties of some groups of local similarities

Bruce Hughes, Daniel S. Farley

arxiv:1206.2692 v1 · 2012-06-13 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRHHLFIYGMQGCODYRXSYO6MZMM}

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	2026-05-18T03:53:43.312363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c4e75951833206138788de5877999631665b5f388081e55f885811d9dd368a4

Aliases

arxiv: 1206.2692 · arxiv_version: 1206.2692v1 · doi: 10.48550/arxiv.1206.2692 · pith_short_12: FRHHLFIYGMQG · pith_short_16: FRHHLFIYGMQGCODY · pith_short_8: FRHHLFIY

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/FRHHLFIYGMQGCODYRXSYO6MZMM \
  | 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: 2c4e75951833206138788de5877999631665b5f388081e55f885811d9dd368a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb2086e9a32aa6136c91b11e3337bee959ed02419be460cb50d38de12254808b",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-06-13T00:42:10Z",
    "title_canon_sha256": "c91d1a6cffa96cd8f192a7991529a5b396d37a9a45916cfa01a932245568cc02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2692",
    "kind": "arxiv",
    "version": 1
  }
}