Pith Number

pith:PF7INUVM

pith:2014:PF7INUVMNPFI4QILAEOOZQSV6R

not attested not anchored not stored refs pending

On the outer automorphism groups of finitely generated, residually finite groups

Alan D. Logan

arxiv:1412.5358 v1 · 2014-12-17 · 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{PF7INUVMNPFI4QILAEOOZQSV6R}

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	2026-05-18T00:02:28.540961Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

797e86d2ac6bca8e410b011cecc255f46dda0055ed30ea2a412ae128247c6697

Aliases

arxiv: 1412.5358 · arxiv_version: 1412.5358v1 · doi: 10.48550/arxiv.1412.5358 · pith_short_12: PF7INUVMNPFI · pith_short_16: PF7INUVMNPFI4QIL · pith_short_8: PF7INUVM

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/PF7INUVMNPFI4QILAEOOZQSV6R \
  | 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: 797e86d2ac6bca8e410b011cecc255f46dda0055ed30ea2a412ae128247c6697

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56cfa1729a8fe79d1ede8adf650952a82de067e249ed10c1f9ff5f9ec785d0b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-12-17T12:17:26Z",
    "title_canon_sha256": "e0de089ab6b2db2cf0937a7223c427af249372721863d49d4ffd0135f7c474cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.5358",
    "kind": "arxiv",
    "version": 1
  }
}