Pith Number

pith:HKAGNFDL

pith:2024:HKAGNFDLEMAGYWBQLU6TMRB5MM

not attested not anchored not stored refs pending

Profinite rigidity for free-by-cyclic groups with centre

Martin R. Bridson, Pawe{\l} Piwek

arxiv:2409.20513 v1 · 2024-09-30 · 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{HKAGNFDLEMAGYWBQLU6TMRB5MM}

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.

Cited by

1 paper in Pith

On the Farrell--Tate $K$-theory of $\text{Out}(F_n)$

Receipt and verification

First computed	2026-07-05T11:39:43.793733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a8066946b23006c58305d3d36443d6339a7f3f4c24d5097f5c9cf0968f69253

Aliases

arxiv: 2409.20513 · arxiv_version: 2409.20513v1 · doi: 10.48550/arxiv.2409.20513 · pith_short_12: HKAGNFDLEMAG · pith_short_16: HKAGNFDLEMAGYWBQ · pith_short_8: HKAGNFDL

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/HKAGNFDLEMAGYWBQLU6TMRB5MM \
  | 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: 3a8066946b23006c58305d3d36443d6339a7f3f4c24d5097f5c9cf0968f69253

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c49c666cefac53470878e473b67245d0e8f0538ec58a63070abc4ac305993377",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-09-30T17:15:20Z",
    "title_canon_sha256": "9c1b3835a25c5236137e3aa24004629adff43207752dfbab644851a28847521b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2409.20513",
    "kind": "arxiv",
    "version": 1
  }
}