Pith Number

pith:QKTD2JPW

pith:2026:QKTD2JPWNQTJFSFQWOIK644RD2

not attested not anchored not stored refs pending

On profinite rigidity, Grothendieck pairs, and the second homology of some $3$-orbifold groups

Carl-Fredrik Nyberg-Brodda

arxiv:2606.09702 v1 · 2026-06-08 · math.GR · math.GT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKTD2JPWNQTJFSFQWOIK644RD2}

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	2026-06-09T02:09:04.700633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82a63d25f66c2692c8b0b390af73911e9dc6a8bb7c809a8ce309c0a3d46d4e02

Aliases

arxiv: 2606.09702 · arxiv_version: 2606.09702v1 · doi: 10.48550/arxiv.2606.09702 · pith_short_12: QKTD2JPWNQTJ · pith_short_16: QKTD2JPWNQTJFSFQ · pith_short_8: QKTD2JPW

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/QKTD2JPWNQTJFSFQWOIK644RD2 \
  | 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: 82a63d25f66c2692c8b0b390af73911e9dc6a8bb7c809a8ce309c0a3d46d4e02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a16357bf02c1e7e2aef527daec2535361ee49a305f9786a9c0253c19f0720af0",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-06-08T16:22:46Z",
    "title_canon_sha256": "95eea1de99f29443a819daf7a11abae9dc0a60a1dfa4f8e7f36ea4aef2c4bb88"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.09702",
    "kind": "arxiv",
    "version": 1
  }
}