Pith Number

pith:N5D3LGUA

pith:2016:N5D3LGUAVIUUU2IGO7RVRFUOPG

not attested not anchored not stored refs pending

An infinite presentation for the mapping class group of a non-orientable surface with boundary

Genki Omori, Ryoma Kobayashi

arxiv:1610.04999 v1 · 2016-10-17 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{N5D3LGUAVIUUU2IGO7RVRFUOPG}

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	2026-05-18T01:02:06.484527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f47b59a80aa294a690677e358968e79ae13030473c56590210a5747857f047c

Aliases

arxiv: 1610.04999 · arxiv_version: 1610.04999v1 · doi: 10.48550/arxiv.1610.04999 · pith_short_12: N5D3LGUAVIUU · pith_short_16: N5D3LGUAVIUUU2IG · pith_short_8: N5D3LGUA

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/N5D3LGUAVIUUU2IGO7RVRFUOPG \
  | 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: 6f47b59a80aa294a690677e358968e79ae13030473c56590210a5747857f047c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f7cb2cccad4f3a8a0c2bdff1ef5731bd5eead21549f0c63f31baf3d1d48b857",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-10-17T08:08:05Z",
    "title_canon_sha256": "05629a5e34b0a1269c58170b38981b543ef910345b2b88fea104d9bd92ae32bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.04999",
    "kind": "arxiv",
    "version": 1
  }
}