Pith Number

pith:MEABW37V

pith:2021:MEABW37VDINVE4N65AOGCHY775

not attested not anchored not stored refs pending

On Torelli groups and Dehn twists of smooth 4-manifolds

Alexander Kupers, Manuel Krannich

arxiv:2105.08904 v3 · 2021-05-19 · 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{MEABW37VDINVE4N65AOGCHY775}

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	2026-07-05T09:52:06.180657Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61001b6ff51a1b5271bee81c611f1fff402a9ea07b21c3d7bfa9c503e0d55c59

Aliases

arxiv: 2105.08904 · arxiv_version: 2105.08904v3 · doi: 10.48550/arxiv.2105.08904 · pith_short_12: MEABW37VDINV · pith_short_16: MEABW37VDINVE4N6 · pith_short_8: MEABW37V

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/MEABW37VDINVE4N65AOGCHY775 \
  | 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: 61001b6ff51a1b5271bee81c611f1fff402a9ea07b21c3d7bfa9c503e0d55c59

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b149493662026c843e7158f69100dd56d7d77f3568375e95b3a44b9af80cdd7",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2021-05-19T03:35:27Z",
    "title_canon_sha256": "ea3a4412c1a16d79bfef22dfba8f20546e6c6edc92283201889c1d487331f76c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.08904",
    "kind": "arxiv",
    "version": 3
  }
}