Pith Number

pith:5BBPRZMU

pith:2014:5BBPRZMUA4VGGURTKGZR2KHE3G

not attested not anchored not stored refs pending

Closed flat affine 3-manifolds are prime

Suhyoung Choi

arxiv:1407.4264 v4 · 2014-07-16 · 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{5BBPRZMUA4VGGURTKGZR2KHE3G}

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	2026-05-18T02:38:52.872924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e842f8e594072a63523351b31d28e4d9b624c6666ac3efc09ca016feb8e6a5b5

Aliases

arxiv: 1407.4264 · arxiv_version: 1407.4264v4 · doi: 10.48550/arxiv.1407.4264 · pith_short_12: 5BBPRZMUA4VG · pith_short_16: 5BBPRZMUA4VGGURT · pith_short_8: 5BBPRZMU

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/5BBPRZMUA4VGGURTKGZR2KHE3G \
  | 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: e842f8e594072a63523351b31d28e4d9b624c6666ac3efc09ca016feb8e6a5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d376913dac81e4b5370e80bb03d9eb5d3f2bd5d3e7499489d1263fd5ac89623",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-07-16T11:41:24Z",
    "title_canon_sha256": "04764d89411a51a8e95b6c69f894d73ddec362fe4ce38709dc997df26c6184a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4264",
    "kind": "arxiv",
    "version": 4
  }
}