Pith Number

pith:UCIU4XK3

pith:2021:UCIU4XK3KLQLX4GPU35VMER3EX

not attested not anchored not stored refs pending

Abelian invariants and a reduction theorem for the modular isomorphism problem

Leo Margolis, Mima Stanojkovski, Taro Sakurai

arxiv:2110.10025 v3 · 2021-10-19 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UCIU4XK3KLQLX4GPU35VMER3EX}

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	2026-07-05T06:53:02.701176Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0914e5d5b52e0bbf0cfa6fb56123b25d77927c2884ed8e5650c861711e646ab

Aliases

arxiv: 2110.10025 · arxiv_version: 2110.10025v3 · doi: 10.48550/arxiv.2110.10025 · pith_short_12: UCIU4XK3KLQL · pith_short_16: UCIU4XK3KLQLX4GP · pith_short_8: UCIU4XK3

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/UCIU4XK3KLQLX4GPU35VMER3EX \
  | 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: a0914e5d5b52e0bbf0cfa6fb56123b25d77927c2884ed8e5650c861711e646ab

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fbc557ab6096dc25b27b91a99e1a3f03a6155be24405d71829799f69da04b922",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2021-10-19T14:44:57Z",
    "title_canon_sha256": "6e8902d97fc4b8af3393b4e9aed482ade84447c7aad2e7906c8ef5ded9f65be8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2110.10025",
    "kind": "arxiv",
    "version": 3
  }
}