Pith Number

pith:3I4LHRKB

pith:2016:3I4LHRKBQYCEEBQJNVCOIY224I

not attested not anchored not stored refs pending

Three-dimensional noncompact $\kappa$-solutions that are Type I forward and backward

Bennett Chow, Xiaodong Cao, Yongjia Zhang

arxiv:1606.02698 v2 · 2016-06-08 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3I4LHRKBQYCEEBQJNVCOIY224I}

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	2026-05-18T00:37:52.861593Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da38b3c54186044206096d44e4635ae23cf315edad50204f67b1c3601535dd0f

Aliases

arxiv: 1606.02698 · arxiv_version: 1606.02698v2 · doi: 10.48550/arxiv.1606.02698 · pith_short_12: 3I4LHRKBQYCE · pith_short_16: 3I4LHRKBQYCEEBQJ · pith_short_8: 3I4LHRKB

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/3I4LHRKBQYCEEBQJNVCOIY224I \
  | 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: da38b3c54186044206096d44e4635ae23cf315edad50204f67b1c3601535dd0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ec0e437d4bbb32f4fc41a52560e10e92f94f10d37d85de8e4a9e732fc783345",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-06-08T19:40:05Z",
    "title_canon_sha256": "91f64e6632a3922e62a9ae9908e7b60fc70f23961d9ce79072aefd432b4e280a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02698",
    "kind": "arxiv",
    "version": 2
  }
}