Pith Number

pith:T3WXPKQF

pith:2013:T3WXPKQFVLF5VE4UJROPI7A2UQ

not attested not anchored not stored refs pending

Hypersurfaces with constant curvature quotients in warped product manifolds

Chao Xia, Jie Wu

arxiv:1312.3584 v1 · 2013-12-12 · 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{T3WXPKQFVLF5VE4UJROPI7A2UQ}

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	2026-05-18T01:22:24.596729Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9eed77aa05aacbda93944c5cf47c1aa4382b06aebcf2f8eaff70116ed84b0f2e

Aliases

arxiv: 1312.3584 · arxiv_version: 1312.3584v1 · doi: 10.48550/arxiv.1312.3584 · pith_short_12: T3WXPKQFVLF5 · pith_short_16: T3WXPKQFVLF5VE4U · pith_short_8: T3WXPKQF

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/T3WXPKQFVLF5VE4UJROPI7A2UQ \
  | 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: 9eed77aa05aacbda93944c5cf47c1aa4382b06aebcf2f8eaff70116ed84b0f2e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b794b1af9f662a05d1eaf5200c994077a6797b11a21184b5e7f21d0180131887",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-12T18:40:08Z",
    "title_canon_sha256": "8d380170b48ab64319a1d321cbc6a67356f4f1beccc83b16779f7d894865baed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.3584",
    "kind": "arxiv",
    "version": 1
  }
}