Pith Number

pith:EPKW64KV

pith:2016:EPKW64KVO7NBTK443LZJ3XKH72

not attested not anchored not stored refs pending

What does a group algebra of a free group know about the group?

A. Miasnikov, O. Kharlampovich

arxiv:1607.03138 v3 · 2016-07-11 · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EPKW64KVO7NBTK443LZJ3XKH72}

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	2026-05-18T00:08:05.355239Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23d56f715577da19ab9cdaf29ddd47fea2701b708a40bc823ad10c554fe2db2e

Aliases

arxiv: 1607.03138 · arxiv_version: 1607.03138v3 · doi: 10.48550/arxiv.1607.03138 · pith_short_12: EPKW64KVO7NB · pith_short_16: EPKW64KVO7NBTK44 · pith_short_8: EPKW64KV

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/EPKW64KVO7NBTK443LZJ3XKH72 \
  | 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: 23d56f715577da19ab9cdaf29ddd47fea2701b708a40bc823ad10c554fe2db2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b917078e0599e58a9438fd8898b69e04c9b36fe3271718d4e1f2315c1948058",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-07-11T20:17:52Z",
    "title_canon_sha256": "34efb8271c822b1d87acbd12a1fbceb70a01193301fd1452ab161bb586ed4d6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.03138",
    "kind": "arxiv",
    "version": 3
  }
}