Pith Number

pith:2LKV6JUC

pith:2025:2LKV6JUC7C7SK43DLN74NJ7F52

not attested not anchored not stored refs pending

On the mapping class groups of 4-manifolds with 1-handles

Boyu Zhang, Jianfeng Lin, Yi Xie

arxiv:2501.11821 v1 · 2025-01-21 · 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{2LKV6JUC7C7SK43DLN74NJ7F52}

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	2026-07-05T10:03:14.218213Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d2d55f2682f8bf2573635b7fc6a7e5eeb9521988a997e040957b9ee5d74e900a

Aliases

arxiv: 2501.11821 · arxiv_version: 2501.11821v1 · doi: 10.48550/arxiv.2501.11821 · pith_short_12: 2LKV6JUC7C7S · pith_short_16: 2LKV6JUC7C7SK43D · pith_short_8: 2LKV6JUC

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/2LKV6JUC7C7SK43DLN74NJ7F52 \
  | 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: d2d55f2682f8bf2573635b7fc6a7e5eeb9521988a997e040957b9ee5d74e900a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01a39e53926af5228b9e0c491eeef450886fd8fe6fc9facf97d8047fb582442e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2025-01-21T01:58:58Z",
    "title_canon_sha256": "656acbea3923b05b4d3db6dd09ab584ca40a8c4c75421b46d5219c95d9a5f7e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11821",
    "kind": "arxiv",
    "version": 1
  }
}