Pith Number

pith:4ALMQROB

pith:2012:4ALMQROB6R4HPRFW3DLRXKJIGQ

not attested not anchored not stored refs pending

On visualization of the linearity problem for mapping class groups of surfaces

Yasushi Kasahara

arxiv:1202.6442 v3 · 2012-02-29 · 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{4ALMQROB6R4HPRFW3DLRXKJIGQ}

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	2026-05-18T02:57:06.993495Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e016c845c1f47877c4b6d8d71ba928340b7bb6c9536513f7ecc9a5d3d1bbfcc9

Aliases

arxiv: 1202.6442 · arxiv_version: 1202.6442v3 · doi: 10.48550/arxiv.1202.6442 · pith_short_12: 4ALMQROB6R4H · pith_short_16: 4ALMQROB6R4HPRFW · pith_short_8: 4ALMQROB

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/4ALMQROB6R4HPRFW3DLRXKJIGQ \
  | 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: e016c845c1f47877c4b6d8d71ba928340b7bb6c9536513f7ecc9a5d3d1bbfcc9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a51611d363561940205627b7ce72c01384b6ecbc19be740d51e3fd665847bbb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-29T05:14:39Z",
    "title_canon_sha256": "7e3b7febfc35e63526c818aad6ede08e9b4ca1555daa9ff0b9db7b29c28595c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.6442",
    "kind": "arxiv",
    "version": 3
  }
}