Pith Number

pith:PMQNFLWI

pith:2022:PMQNFLWIUVROX3MKNAZAJUMDMR

not attested not anchored not stored refs pending

On the Maximal Subgroups of $E_7(q)$ and Related Almost Simple Groups

David A. Craven

arxiv:2201.07081 v2 · 2022-01-18 · 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{PMQNFLWIUVROX3MKNAZAJUMDMR}

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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.

Cited by

2 papers in Pith

Structure of an exotic $2$-local subgroup in $E_7(q)$

The Herzog-Sch\"onheim conjecture for simple and symmetric groups

Receipt and verification

First computed	2026-07-05T12:07:51.668306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b20d2aec8a562ebed8a683204d1836462928f3255f41df4e1d73f04e2bd17f3

Aliases

arxiv: 2201.07081 · arxiv_version: 2201.07081v2 · doi: 10.48550/arxiv.2201.07081 · pith_short_12: PMQNFLWIUVRO · pith_short_16: PMQNFLWIUVROX3MK · pith_short_8: PMQNFLWI

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/PMQNFLWIUVROX3MKNAZAJUMDMR \
  | 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: 7b20d2aec8a562ebed8a683204d1836462928f3255f41df4e1d73f04e2bd17f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "289623ae381bd5ada49ee6bae997448aa25110ae2268398bedb2c8d06894685e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2022-01-18T16:02:20Z",
    "title_canon_sha256": "bbc3a325ad2d3cc62d25d66b9b8c6bd01a59ca86cf99461cac1bbfeee953cd88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.07081",
    "kind": "arxiv",
    "version": 2
  }
}