Pith Number

pith:FRK3CFPS

pith:2016:FRK3CFPS2Y25OXHHBSSRDAZFET

not attested not anchored not stored refs pending

Quasi-isometry classification of right-angled Artin groups II: several infinite out cases

Jingyin Huang

arxiv:1603.02372 v2 · 2016-03-08 · math.GT · math.GR

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FRK3CFPS2Y25OXHHBSSRDAZFET}

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

Coarse embeddings of products of trees as quasi-isometry invariants

Receipt and verification

First computed	2026-07-05T09:42:15.902393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c55b115f2d635d75ce70ca511832524e9e3ae237a5c67a4d0286d34158d37fa

Aliases

arxiv: 1603.02372 · arxiv_version: 1603.02372v2 · doi: 10.48550/arxiv.1603.02372 · pith_short_12: FRK3CFPS2Y25 · pith_short_16: FRK3CFPS2Y25OXHH · pith_short_8: FRK3CFPS

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/FRK3CFPS2Y25OXHHBSSRDAZFET \
  | 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: 2c55b115f2d635d75ce70ca511832524e9e3ae237a5c67a4d0286d34158d37fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05d021e5ec44499f2be89ec82ad80758032602b20df49cfb84f152c22387f7d2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-03-08T03:57:54Z",
    "title_canon_sha256": "214b85fd0c923831922144f2221ac3c59ba8794f5415e3a9f867f9bfa7343a7a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02372",
    "kind": "arxiv",
    "version": 2
  }
}