Pith Number

pith:IBN7K3KT

pith:2014:IBN7K3KTAA2GDL25UL2MIJK3GJ

not attested not anchored not stored refs pending

A non-LEA Sofic Group

Aditi Kar, Nikolay Nikolov

arxiv:1405.1620 v4 · 2014-05-02 · 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{IBN7K3KTAA2GDL25UL2MIJK3GJ}

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	2026-05-18T01:34:13.534439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

405bf56d53003461af5da2f4c4255b325899af9a0cd0082ac3b8d875122cd794

Aliases

arxiv: 1405.1620 · arxiv_version: 1405.1620v4 · doi: 10.48550/arxiv.1405.1620 · pith_short_12: IBN7K3KTAA2G · pith_short_16: IBN7K3KTAA2GDL25 · pith_short_8: IBN7K3KT

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/IBN7K3KTAA2GDL25UL2MIJK3GJ \
  | 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: 405bf56d53003461af5da2f4c4255b325899af9a0cd0082ac3b8d875122cd794

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f526173b81f7ffd5371dc292e9802ffed7dbf756b6cf75813209f02f1ba2297",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-02T21:04:20Z",
    "title_canon_sha256": "e11aacec313e93746ff573ecdd8805be112d18e34f033e0f93a8e20806d6742c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1620",
    "kind": "arxiv",
    "version": 4
  }
}