Pith Number

pith:WXFM66N4

pith:2016:WXFM66N4E3NBCVAPSWD442UDCL

not attested not anchored not stored refs pending

On automorphisms and focal subgroups of blocks

Markus Linckelmann

arxiv:1612.07739 v1 · 2016-12-22 · math.RT · 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{WXFM66N4E3NBCVAPSWD442UDCL}

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	2026-05-18T00:54:09.455617Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5cacf79bc26da11540f9587ce6a8312cd92b59454619eee5eebba0e0ebb9831

Aliases

arxiv: 1612.07739 · arxiv_version: 1612.07739v1 · doi: 10.48550/arxiv.1612.07739 · pith_short_12: WXFM66N4E3NB · pith_short_16: WXFM66N4E3NBCVAP · pith_short_8: WXFM66N4

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/WXFM66N4E3NBCVAPSWD442UDCL \
  | 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: b5cacf79bc26da11540f9587ce6a8312cd92b59454619eee5eebba0e0ebb9831

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8e1c8c14622848c790f4ae79f4a2ee67b299c933d33c3d2dc40b0e32c2183ae",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2016-12-22T18:27:07Z",
    "title_canon_sha256": "4e2298e4116829934d2345905163ba03b081fc0205ce20492f783dcf11300a2c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07739",
    "kind": "arxiv",
    "version": 1
  }
}