Pith Number

pith:AV4Y6MOQ

pith:2026:AV4Y6MOQEWCU44GE4DI3T76FNH

not attested not anchored not stored refs pending

Obstructions to coarse universality for finitely generated groups

Robin Tucker-Drob

arxiv:2607.00963 v1 · 2026-07-01 · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AV4Y6MOQEWCU44GE4DI3T76FNH}

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	2026-07-02T01:18:24.620063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05798f31d025854e70c4e0d1b9ffc569f99eeb1ea1361c569d6beadd04aa4ce4

Aliases

arxiv: 2607.00963 · arxiv_version: 2607.00963v1 · doi: 10.48550/arxiv.2607.00963 · pith_short_12: AV4Y6MOQEWCU · pith_short_16: AV4Y6MOQEWCU44GE · pith_short_8: AV4Y6MOQ

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/AV4Y6MOQEWCU44GE4DI3T76FNH \
  | 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: 05798f31d025854e70c4e0d1b9ffc569f99eeb1ea1361c569d6beadd04aa4ce4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3efa7e35e17ede1ae64f9dfe2f20d4b8615f355d6b0b224a85a86aa252c1d699",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2026-07-01T13:59:18Z",
    "title_canon_sha256": "4348b09b955a06f5640b643df4cbccfbe1144db85a42a668b009bbc5af42d150"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.00963",
    "kind": "arxiv",
    "version": 1
  }
}