Pith Number

pith:ZMCABPVN

pith:2017:ZMCABPVNSXB7PM3JDTRHSBO2RB

not attested not anchored not stored refs pending

The mapping class groups of reducible Heegaard splittings of genus two

Sangbum Cho, Yuya Koda

arxiv:1702.05306 v1 · 2017-02-17 · 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{ZMCABPVNSXB7PM3JDTRHSBO2RB}

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	2026-05-18T00:50:32.059055Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb0400bead95c3f7b3691ce27905da88541faff471a0255042eddd48df935ce2

Aliases

arxiv: 1702.05306 · arxiv_version: 1702.05306v1 · doi: 10.48550/arxiv.1702.05306 · pith_short_12: ZMCABPVNSXB7 · pith_short_16: ZMCABPVNSXB7PM3J · pith_short_8: ZMCABPVN

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/ZMCABPVNSXB7PM3JDTRHSBO2RB \
  | 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: cb0400bead95c3f7b3691ce27905da88541faff471a0255042eddd48df935ce2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4820f45d6db75016a0e4d33f5c53a55d80fb22b11a4471effaa4bad20d712b7d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-02-17T11:42:08Z",
    "title_canon_sha256": "8c9273012e6929b08ccbd50f6e91d7b71fdcdb099358fce295cb1da9acd864ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.05306",
    "kind": "arxiv",
    "version": 1
  }
}