Pith Number

pith:73YR75OM

pith:2024:73YR75OM5YWLSLRVY6OMIFKQCM

not attested not anchored not stored refs pending

Coarse obstructions to cocompact cubulation

Harry Petyt, Zachary Munro

arxiv:2407.09275 v3 · 2024-07-12 · 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{73YR75OM5YWLSLRVY6OMIFKQCM}

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

2 papers in Pith

Coarse embeddings of products of trees as quasi-isometry invariants

Characterizing hierarchically hyperbolic free by cyclic groups

Receipt and verification

First computed	2026-07-05T11:19:49.074088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fef11ff5ccee2cb92e35c79cc4155013375edcc55a731ae870042b36f440b0e3

Aliases

arxiv: 2407.09275 · arxiv_version: 2407.09275v3 · doi: 10.48550/arxiv.2407.09275 · pith_short_12: 73YR75OM5YWL · pith_short_16: 73YR75OM5YWLSLRV · pith_short_8: 73YR75OM

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/73YR75OM5YWLSLRVY6OMIFKQCM \
  | 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: fef11ff5ccee2cb92e35c79cc4155013375edcc55a731ae870042b36f440b0e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "342a1f8743025639ab9da8836803aa41d562550b5e7b010eb1bbb49e943c0537",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-07-12T14:03:18Z",
    "title_canon_sha256": "71eeab2e9546a2dfc2227bf40b1d22e7876496b5954ec8ca38891240fad34d1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2407.09275",
    "kind": "arxiv",
    "version": 3
  }
}