Pith Number

pith:QM5WW5WJ

pith:2022:QM5WW5WJTLHYRI64J7V5RPPZQN

not attested not anchored not stored refs pending

Inertia groups of $(n-1)$-connected $2n$-manifolds

Adela YiYu Zhang, Andrew Senger

arxiv:2211.00782 v3 · 2022-11-01 · math.GT · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QM5WW5WJTLHYRI64J7V5RPPZQN}

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	2026-07-05T12:02:31.245719Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

833b6b76c99acf88a3dc4febd8bdf9837238c2336e5da6ca4bade48e057b622a

Aliases

arxiv: 2211.00782 · arxiv_version: 2211.00782v3 · doi: 10.48550/arxiv.2211.00782 · pith_short_12: QM5WW5WJTLHY · pith_short_16: QM5WW5WJTLHYRI64 · pith_short_8: QM5WW5WJ

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/QM5WW5WJTLHYRI64J7V5RPPZQN \
  | 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: 833b6b76c99acf88a3dc4febd8bdf9837238c2336e5da6ca4bade48e057b622a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df04f51fa26a6391ae06b2e49439f9a6f627015736ebada98df5cb5aaa74c031",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2022-11-01T23:01:27Z",
    "title_canon_sha256": "f5e7ca81f8c43710a3b2be57dfde1af3ae93aa3bf9a83ed56983b1ecc13a01d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.00782",
    "kind": "arxiv",
    "version": 3
  }
}