Pith Number

pith:IXQR4ZQ7

pith:2024:IXQR4ZQ7CV4ISAUQ73IKDDEY42

not attested not anchored not stored refs pending

Hereditarily just-infinite torsion groups with positive first $\ell^2$-Betti number

Eduard Schesler, Steffen Kionke

arxiv:2401.04542 v2 · 2024-01-09 · 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{IXQR4ZQ7CV4ISAUQ73IKDDEY42}

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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

1 paper in Pith

Infinite groups from the profinite point of view

Receipt and verification

First computed	2026-07-05T07:34:00.196889Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

45e11e661f1578890290fed0a18c98e6bf69ec40d64dc42c8f4373f73da612c0

Aliases

arxiv: 2401.04542 · arxiv_version: 2401.04542v2 · doi: 10.48550/arxiv.2401.04542 · pith_short_12: IXQR4ZQ7CV4I · pith_short_16: IXQR4ZQ7CV4ISAUQ · pith_short_8: IXQR4ZQ7

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/IXQR4ZQ7CV4ISAUQ73IKDDEY42 \
  | 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: 45e11e661f1578890290fed0a18c98e6bf69ec40d64dc42c8f4373f73da612c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db222bb6a7faf865021c31737d38645eba5bf7d1f6314ba595108b8a8e02bf46",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-01-09T13:25:58Z",
    "title_canon_sha256": "5bc04a0692458a9758e3b34cf9f6c5114b847de8eeda82f23d35c9edbc0d2451"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2401.04542",
    "kind": "arxiv",
    "version": 2
  }
}