Pith Number

pith:N5HZNBR3

pith:2015:N5HZNBR3FNXEBJ2OWU4FUD3VGC

not attested not anchored not stored refs pending

Haken spheres for genus two Heegaard splittings

Sangbum Cho, Yuya Koda

arxiv:1512.06342 v1 · 2015-12-20 · 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{N5HZNBR3FNXEBJ2OWU4FUD3VGC}

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	2026-05-18T01:24:00.784913Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f4f96863b2b6e40a74eb5385a0f753081c83dc6e7e41c134d0c259a69c919c4

Aliases

arxiv: 1512.06342 · arxiv_version: 1512.06342v1 · doi: 10.48550/arxiv.1512.06342 · pith_short_12: N5HZNBR3FNXE · pith_short_16: N5HZNBR3FNXEBJ2O · pith_short_8: N5HZNBR3

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/N5HZNBR3FNXEBJ2OWU4FUD3VGC \
  | 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: 6f4f96863b2b6e40a74eb5385a0f753081c83dc6e7e41c134d0c259a69c919c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12d5216f03acf6a3ce542e9c39fecf96fcaa431661e212dd1964c49cb2eb62e8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-20T09:55:28Z",
    "title_canon_sha256": "0cc3871d316a2369677b4682b734253ad890b033eed33c03260e00ecbde03979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06342",
    "kind": "arxiv",
    "version": 1
  }
}