Pith Number

pith:KU5MBKP2

pith:2016:KU5MBKP2E237FAJQZPKNF3KI6V

not attested not anchored not stored refs pending

On self-similar finite $p$-groups

Azam Babai, Gustavo A. Fernandez-Alcober, Khadijeh Fathalikhani, Matteo Vannacci

arxiv:1603.04879 v1 · 2016-03-15 · 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{KU5MBKP2E237FAJQZPKNF3KI6V}

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	2026-05-18T01:18:59.767850Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

553ac0a9fa26b7f28130cbd4d2ed48f579f2c8e6094e19a4a30a6abb33678f28

Aliases

arxiv: 1603.04879 · arxiv_version: 1603.04879v1 · doi: 10.48550/arxiv.1603.04879 · pith_short_12: KU5MBKP2E237 · pith_short_16: KU5MBKP2E237FAJQ · pith_short_8: KU5MBKP2

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/KU5MBKP2E237FAJQZPKNF3KI6V \
  | 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: 553ac0a9fa26b7f28130cbd4d2ed48f579f2c8e6094e19a4a30a6abb33678f28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c2d2785909846a4de09d3f4b0715215c3441213ddae259390d2d78f82141492",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-03-15T20:42:01Z",
    "title_canon_sha256": "210056ef3db1786ee65c25c20a3d6cf1452e0a67c18d4a2b542fc0054cd543e2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.04879",
    "kind": "arxiv",
    "version": 1
  }
}