Pith Number

pith:B3BGJZ7V

pith:2015:B3BGJZ7VR24GX3S3PUBXWPTL2V

not attested not anchored not stored refs pending

Stable Moduli Spaces of High Dimensional Handlebodies

Boris Botvinnik, Nathan Perlmutter

arxiv:1509.03359 v4 · 2015-09-10 · math.AT · 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{B3BGJZ7VR24GX3S3PUBXWPTL2V}

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	2026-05-18T00:44:25.197456Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ec264e7f58eb86bee5b7d037b3e6bd57a2f52ebc360fd47568016ee75673db7

Aliases

arxiv: 1509.03359 · arxiv_version: 1509.03359v4 · doi: 10.48550/arxiv.1509.03359 · pith_short_12: B3BGJZ7VR24G · pith_short_16: B3BGJZ7VR24GX3S3 · pith_short_8: B3BGJZ7V

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/B3BGJZ7VR24GX3S3PUBXWPTL2V \
  | 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: 0ec264e7f58eb86bee5b7d037b3e6bd57a2f52ebc360fd47568016ee75673db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae8f851f1b601fe59b1a1c550c4a145b409f15fbee42d894cbcb5ebdb9d872c2",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-09-10T23:14:44Z",
    "title_canon_sha256": "8f2ac72020f4b1cb819f3dea60940865b8ab53f7539772e5cb64ba6c3266a6b4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03359",
    "kind": "arxiv",
    "version": 4
  }
}