Pith Number

pith:464I22AO

pith:2017:464I22AOLNQUMF6M5AJ7HW3FDR

not attested not anchored not stored refs pending

The length and depth of algebraic groups

Aner Shalev, Martin W. Liebeck, Timothy C. Burness

arxiv:1712.08214 v3 · 2017-12-21 · 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{464I22AOLNQUMF6M5AJ7HW3FDR}

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	2026-05-18T00:14:59.655091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7b88d680e5b614617cce813f3db651c50fb4c9852ae984eb1f248fd187812f1

Aliases

arxiv: 1712.08214 · arxiv_version: 1712.08214v3 · doi: 10.48550/arxiv.1712.08214 · pith_short_12: 464I22AOLNQU · pith_short_16: 464I22AOLNQUMF6M · pith_short_8: 464I22AO

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/464I22AOLNQUMF6M5AJ7HW3FDR \
  | 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: e7b88d680e5b614617cce813f3db651c50fb4c9852ae984eb1f248fd187812f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8341e83eda4c6ffe4bd8e3ca66c88142154055c6cce9dba42da5038fa9ef921b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-12-21T21:18:33Z",
    "title_canon_sha256": "de3185a7a8505acf2536c4dcc1155a0cb8c3324ae86e42f79ff776111d00d6c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.08214",
    "kind": "arxiv",
    "version": 3
  }
}