Pith Number

pith:C7OXV7VL

pith:2008:C7OXV7VLNO3LZCZ66E6UI7GTIS

not attested not anchored not stored refs pending

The abelianization of the level 2 mapping class group

Masatoshi Sato

arxiv:0804.4789 v1 · 2008-04-30 · 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{C7OXV7VLNO3LZCZ66E6UI7GTIS}

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	2026-05-18T02:58:11.568211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17dd7afeab6bb6bc8b3ef13d447cd3448f319eaeac42ef8469062d276f8af1f2

Aliases

arxiv: 0804.4789 · arxiv_version: 0804.4789v1 · doi: 10.48550/arxiv.0804.4789 · pith_short_12: C7OXV7VLNO3L · pith_short_16: C7OXV7VLNO3LZCZ6 · pith_short_8: C7OXV7VL

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/C7OXV7VLNO3LZCZ66E6UI7GTIS \
  | 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: 17dd7afeab6bb6bc8b3ef13d447cd3448f319eaeac42ef8469062d276f8af1f2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cac973583cd00da53c7af3d5ddeb46b050950053f440fe467e51fa0b87f8d115",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-04-30T11:47:49Z",
    "title_canon_sha256": "5eed3fd4765b9094221da945049ffc0a3d923e6bc5699a9550470d1992b949cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0804.4789",
    "kind": "arxiv",
    "version": 1
  }
}