Pith Number

pith:6ARN44YQ

pith:2021:6ARN44YQX6EFUBY7BMFOS5UTMS

not attested not anchored not stored refs pending

Strong Haken via Sphere Complexes

Jennifer Schultens, Sebastian Hensel

arxiv:2102.09831 v1 · 2021-02-19 · 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{6ARN44YQX6EFUBY7BMFOS5UTMS}

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

Genus three Goeritz groups of connected sums of two lens spaces

Receipt and verification

First computed	2026-07-05T08:59:48.004372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f022de7310bf885a071f0b0ae9769364b61b93c3408406e981e69c58777f8f30

Aliases

arxiv: 2102.09831 · arxiv_version: 2102.09831v1 · doi: 10.48550/arxiv.2102.09831 · pith_short_12: 6ARN44YQX6EF · pith_short_16: 6ARN44YQX6EFUBY7 · pith_short_8: 6ARN44YQ

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/6ARN44YQX6EFUBY7BMFOS5UTMS \
  | 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: f022de7310bf885a071f0b0ae9769364b61b93c3408406e981e69c58777f8f30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f989397b9e60fd4d068d4fd74da1f1a4ddd53a710dd4388c2422d45616a44ad",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-02-19T09:46:15Z",
    "title_canon_sha256": "8b0abd87f264c7fddd4ffa3b49870e7518357ce80d5ddf7d5407b406ae19c765"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2102.09831",
    "kind": "arxiv",
    "version": 1
  }
}