Pith Number

pith:KKG2UNPQ

pith:2014:KKG2UNPQKQ573QZST5F2XSHTQ5

not attested not anchored not stored refs pending

Local similarity groups with context-free co-word problem

Daniel Farley

arxiv:1406.4590 v1 · 2014-06-18 · 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{KKG2UNPQKQ573QZST5F2XSHTQ5}

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	2026-05-18T02:49:31.205687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

528daa35f0543bfdc3329f4babc8f3875be499756da5bcf4e1e550d23348b8ab

Aliases

arxiv: 1406.4590 · arxiv_version: 1406.4590v1 · doi: 10.48550/arxiv.1406.4590 · pith_short_12: KKG2UNPQKQ57 · pith_short_16: KKG2UNPQKQ573QZS · pith_short_8: KKG2UNPQ

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/KKG2UNPQKQ573QZST5F2XSHTQ5 \
  | 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: 528daa35f0543bfdc3329f4babc8f3875be499756da5bcf4e1e550d23348b8ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21b43dfd667c80627d64abeb39a3f330b8f9d023daa6c1d4a29ed04ee93a27ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-06-18T04:00:23Z",
    "title_canon_sha256": "28f7c5d9b7b03d78ae2def78d6794fc00a73d437ee5de224303676d9712d7d4d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.4590",
    "kind": "arxiv",
    "version": 1
  }
}