Pith Number

pith:5DBZ3NTF

pith:2024:5DBZ3NTFK6BWI6CEUW7DZHXJM5

not attested not anchored not stored refs pending

The boundary of bordified Outer space

Karen Vogtmann

arxiv:2404.11371 v2 · 2024-04-17 · 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{5DBZ3NTFK6BWI6CEUW7DZHXJM5}

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

The handlebody group is a virtual duality group

Receipt and verification

First computed	2026-07-05T11:55:14.137446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e8c39db6655783647844a5be3c9ee967795416e655c7198d11b7cd5feb48d5e2

Aliases

arxiv: 2404.11371 · arxiv_version: 2404.11371v2 · doi: 10.48550/arxiv.2404.11371 · pith_short_12: 5DBZ3NTFK6BW · pith_short_16: 5DBZ3NTFK6BWI6CE · pith_short_8: 5DBZ3NTF

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/5DBZ3NTFK6BWI6CEUW7DZHXJM5 \
  | 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: e8c39db6655783647844a5be3c9ee967795416e655c7198d11b7cd5feb48d5e2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "191814a18f9871c64713cfd8eeea7013243e8d19f4217c87de16a646610f7b81",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2024-04-17T13:31:26Z",
    "title_canon_sha256": "46768ca6ca224706ba73c74794aa1a657bf336d4f7bc7ae0436f3d1f0ff07108"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.11371",
    "kind": "arxiv",
    "version": 2
  }
}