Pith Number

pith:CTVIHBLO

pith:2015:CTVIHBLO3ZRNYQ2ZCISQLQ4E3U

not attested not anchored not stored refs pending

On the disk complexes of weakly reducible, unstabilized Heegaard splittings of genus three III - Generalized Heegaard splittings and mapping classes

Jungsoo Kim

arxiv:1509.00157 v1 · 2015-09-01 · 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{CTVIHBLO3ZRNYQ2ZCISQLQ4E3U}

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	2026-05-18T01:34:30.468219Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

14ea83856ede62dc4359122505c384dd234ab5a9e8361b7803ac9dbb8aad1533

Aliases

arxiv: 1509.00157 · arxiv_version: 1509.00157v1 · doi: 10.48550/arxiv.1509.00157 · pith_short_12: CTVIHBLO3ZRN · pith_short_16: CTVIHBLO3ZRNYQ2Z · pith_short_8: CTVIHBLO

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/CTVIHBLO3ZRNYQ2ZCISQLQ4E3U \
  | 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: 14ea83856ede62dc4359122505c384dd234ab5a9e8361b7803ac9dbb8aad1533

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a94f948a6400d58a657d23875f36735dbdaca893dedc190710daba5409c8f700",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-09-01T06:39:26Z",
    "title_canon_sha256": "770eaf92fcdc313e99d16dea970099b1c649e988dcb631695f6231d0a5fb025d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.00157",
    "kind": "arxiv",
    "version": 1
  }
}