Pith Number

pith:QF527DTB

pith:2013:QF527DTBH7OL4PBCZAUUKGMEA5

not attested not anchored not stored refs pending

Residual properties of groups defined by basic commutators

Gilbert Baumslag, Roman Mikhailov

arxiv:1301.4629 v2 · 2013-01-20 · 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{QF527DTBH7OL4PBCZAUUKGMEA5}

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	2026-05-18T03:14:50.011509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

817baf8e613fdcbe3c22c82945198407773269b133aedfbd0e14c1cc93808d4d

Aliases

arxiv: 1301.4629 · arxiv_version: 1301.4629v2 · doi: 10.48550/arxiv.1301.4629 · pith_short_12: QF527DTBH7OL · pith_short_16: QF527DTBH7OL4PBC · pith_short_8: QF527DTB

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/QF527DTBH7OL4PBCZAUUKGMEA5 \
  | 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: 817baf8e613fdcbe3c22c82945198407773269b133aedfbd0e14c1cc93808d4d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12feb52174ebba4c3571abc5440d297c4c2239e6aa3091bed0780693131d201b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-01-20T05:56:09Z",
    "title_canon_sha256": "f1c3cf1e6548fbe609a73a6623d3a62c7da49ff87ca1646a0ae8995ed230f631"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4629",
    "kind": "arxiv",
    "version": 2
  }
}