Pith Number

pith:CBVC7BEA

pith:2016:CBVC7BEAKWNCDDCU25ZTQKAPCK

not attested not anchored not stored refs pending

Generators for the mapping class group of a nonorientable surface

Susumu Hirose

arxiv:1602.07419 v2 · 2016-02-24 · 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{CBVC7BEAKWNCDDCU25ZTQKAPCK}

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	2026-05-18T01:00:45.910298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

106a2f8480559a218c54d77338280f128702ff891c3f7f6be08927e74003f7d3

Aliases

arxiv: 1602.07419 · arxiv_version: 1602.07419v2 · doi: 10.48550/arxiv.1602.07419 · pith_short_12: CBVC7BEAKWNC · pith_short_16: CBVC7BEAKWNCDDCU · pith_short_8: CBVC7BEA

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/CBVC7BEAKWNCDDCU25ZTQKAPCK \
  | 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: 106a2f8480559a218c54d77338280f128702ff891c3f7f6be08927e74003f7d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0dd2e59fc5f2a9c154e08b18f08adfb9d7e9253c699f797a4d0e0ae06df790d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-02-24T07:11:25Z",
    "title_canon_sha256": "2195a6efeeae617baee96f3245ad6506c6749a4a55203b600cf4fdc6ad45acdb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.07419",
    "kind": "arxiv",
    "version": 2
  }
}