Pith Number

pith:AWVRFOVM

pith:2016:AWVRFOVMNWVCHO6Q37Q3BRGXVX

not attested not anchored not stored refs pending

Contact 5-manifolds and smooth structures on Stein 4-manifolds

Kouichi Yasui

arxiv:1604.03460 v1 · 2016-04-12 · math.GT · math.SG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AWVRFOVMNWVCHO6Q37Q3BRGXVX}

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	2026-05-18T01:17:13.485084Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05ab12baac6daa23bbd0dfe1b0c4d7adf76cd730aa746cbf41719c9ab9d0bc44

Aliases

arxiv: 1604.03460 · arxiv_version: 1604.03460v1 · doi: 10.48550/arxiv.1604.03460 · pith_short_12: AWVRFOVMNWVC · pith_short_16: AWVRFOVMNWVCHO6Q · pith_short_8: AWVRFOVM

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/AWVRFOVMNWVCHO6Q37Q3BRGXVX \
  | 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: 05ab12baac6daa23bbd0dfe1b0c4d7adf76cd730aa746cbf41719c9ab9d0bc44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3f2ef17b6bb07f8e703b0d87f425f5ec033758520960d52fed17f45c4c896b0",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-12T15:56:31Z",
    "title_canon_sha256": "f0675fd18b79be945057fb6f34da3d453ee267f7fb2769907aa98b9d6824452d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.03460",
    "kind": "arxiv",
    "version": 1
  }
}