Pith Number

pith:XO3ELMM7

pith:2013:XO3ELMM7DGKUAMJ34TA4NXZ2LF

not attested not anchored not stored refs pending

The genus two Goeritz group of $S^2 \times S^1$

Sangbum Cho, Yuya Koda

arxiv:1303.7145 v2 · 2013-03-28 · 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{XO3ELMM7DGKUAMJ34TA4NXZ2LF}

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	2026-05-18T03:01:46.694211Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbb645b19f199540313be4c1c6df3a597448a2f9b2f6bc882bfe9d7b6e9f1685

Aliases

arxiv: 1303.7145 · arxiv_version: 1303.7145v2 · doi: 10.48550/arxiv.1303.7145 · pith_short_12: XO3ELMM7DGKU · pith_short_16: XO3ELMM7DGKUAMJ3 · pith_short_8: XO3ELMM7

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/XO3ELMM7DGKUAMJ34TA4NXZ2LF \
  | 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: bbb645b19f199540313be4c1c6df3a597448a2f9b2f6bc882bfe9d7b6e9f1685

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a507b3c4cabd4357758c28a7f1e7b0ab9fce8f691513be691de0a1dba9022ddd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-28T15:01:09Z",
    "title_canon_sha256": "8fe735f82f75c8c8e5a2dbc80f84a277bee487f07bde8ec2fdad4e1416cb209a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.7145",
    "kind": "arxiv",
    "version": 2
  }
}