Pith Number

pith:NKCR7A3G

pith:2015:NKCR7A3G7MDFOHOQ6MKMLA4CKD

not attested not anchored not stored refs pending

On subgroups of R. Thompson's group $F$

Gili Golan, Mark Sapir

arxiv:1508.00493 v3 · 2015-08-03 · 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{NKCR7A3G7MDFOHOQ6MKMLA4CKD}

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	2026-05-18T00:52:58.976650Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a851f8366fb06571dd0f314c5838250f415ee6d117beaa7cfe92394f842e7db

Aliases

arxiv: 1508.00493 · arxiv_version: 1508.00493v3 · doi: 10.48550/arxiv.1508.00493 · pith_short_12: NKCR7A3G7MDF · pith_short_16: NKCR7A3G7MDFOHOQ · pith_short_8: NKCR7A3G

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/NKCR7A3G7MDFOHOQ6MKMLA4CKD \
  | 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: 6a851f8366fb06571dd0f314c5838250f415ee6d117beaa7cfe92394f842e7db

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "97acaf35792691f1e8bbfa1363039a7b3935f0f53a36bf61c9ac53c82d242491",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-08-03T17:10:35Z",
    "title_canon_sha256": "2e2df11831299e3d9ab3001ce5cae0531faec73f86e06d397eaf7f88260abfba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.00493",
    "kind": "arxiv",
    "version": 3
  }
}