Pith Number

pith:Z73Z37XH

pith:2014:Z73Z37XHQRNUQTATJ4KKNAURMB

not attested not anchored not stored refs pending

Adequate subgroups and indecomposable modules

Florian Herzig, Pham Huu Tiep, Robert Guralnick

arxiv:1405.0043 v3 · 2014-04-30 · math.RT · math.GR · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z73Z37XHQRNUQTATJ4KKNAURMB}

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	2026-05-18T00:48:33.314439Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cff79dfee7845b484c134f14a68291606929b3b44732e25cf4b738a7139f615d

Aliases

arxiv: 1405.0043 · arxiv_version: 1405.0043v3 · doi: 10.48550/arxiv.1405.0043 · pith_short_12: Z73Z37XHQRNU · pith_short_16: Z73Z37XHQRNUQTAT · pith_short_8: Z73Z37XH

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/Z73Z37XHQRNUQTATJ4KKNAURMB \
  | 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: cff79dfee7845b484c134f14a68291606929b3b44732e25cf4b738a7139f615d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d3d38774849e2e6ac256732143c1030a574d884a152a342597a5e5cfbc0332f",
    "cross_cats_sorted": [
      "math.GR",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-04-30T21:56:22Z",
    "title_canon_sha256": "07ad7b34565f73ee092cfc7557a7282b7145843192a20b06a606a9d0fc1ec9a1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.0043",
    "kind": "arxiv",
    "version": 3
  }
}