Pith Number

pith:OZWVRNXZ

pith:2017:OZWVRNXZA3DELUQOUEFBSX34N5

not attested not anchored not stored refs pending

The complexity of prime 3-manifolds and the first $\mathbb{Z}_{/2\mathbb{Z}}$-cohomology of small rank

Kei Nakamura

arxiv:1712.02607 v1 · 2017-12-07 · 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{OZWVRNXZA3DELUQOUEFBSX34N5}

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	2026-05-18T00:28:33.488802Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

766d58b6f906c645d20ea10a195f7c6f4bd4c40031e6fd066d8d8f8aede5b989

Aliases

arxiv: 1712.02607 · arxiv_version: 1712.02607v1 · doi: 10.48550/arxiv.1712.02607 · pith_short_12: OZWVRNXZA3DE · pith_short_16: OZWVRNXZA3DELUQO · pith_short_8: OZWVRNXZ

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/OZWVRNXZA3DELUQOUEFBSX34N5 \
  | 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: 766d58b6f906c645d20ea10a195f7c6f4bd4c40031e6fd066d8d8f8aede5b989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1d938fb109b348f2569cfc716b64e085aa23c8b89526694cfa4fbcbc6f7a709",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-07T13:22:13Z",
    "title_canon_sha256": "2b6ec20f786652f4828b26e3e261af2b5804726cfac7595d6a09f961be4a91c4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.02607",
    "kind": "arxiv",
    "version": 1
  }
}