Pith Number

pith:IAPRNATY

pith:2014:IAPRNATYLJ7Z3DP4ZL3KBCUH4D

not attested not anchored not stored refs pending

A normal generating set for the Torelli group of a non-orientable closed surface

Ryoma Kobayashi, Susumu Hirose

arxiv:1412.2222 v2 · 2014-12-06 · 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{IAPRNATYLJ7Z3DP4ZL3KBCUH4D}

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	2026-05-18T01:44:11.624286Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

401f1682785a7f9d8dfccaf6a08a87e0cbec5caba02181a4f839253140772041

Aliases

arxiv: 1412.2222 · arxiv_version: 1412.2222v2 · doi: 10.48550/arxiv.1412.2222 · pith_short_12: IAPRNATYLJ7Z · pith_short_16: IAPRNATYLJ7Z3DP4 · pith_short_8: IAPRNATY

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/IAPRNATYLJ7Z3DP4ZL3KBCUH4D \
  | 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: 401f1682785a7f9d8dfccaf6a08a87e0cbec5caba02181a4f839253140772041

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3061b968ec217d65d9c171b5371674a9f94c30cc41eab964ce780b568cb2e34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-06T11:08:41Z",
    "title_canon_sha256": "38cca536fde1f53673068c19d9fa6379f7735636daba1c304ea9ee3547001742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.2222",
    "kind": "arxiv",
    "version": 2
  }
}