Pith Number

pith:UYXP6FAG

pith:2013:UYXP6FAGJRFKWTSSNBQKC3GEK6

not attested not anchored not stored refs pending

On Rigidity of hypersurfaces with constant curvature functions in warped product manifolds

Chao Xia, Jie Wu

arxiv:1312.5152 v1 · 2013-12-18 · 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{UYXP6FAGJRFKWTSSNBQKC3GEK6}

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	2026-05-18T03:04:16.110389Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a62eff14064c4aab4e526860a16cc4578eb6f359f74f2cff06d477330d47e2aa

Aliases

arxiv: 1312.5152 · arxiv_version: 1312.5152v1 · doi: 10.48550/arxiv.1312.5152 · pith_short_12: UYXP6FAGJRFK · pith_short_16: UYXP6FAGJRFKWTSS · pith_short_8: UYXP6FAG

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/UYXP6FAGJRFKWTSSNBQKC3GEK6 \
  | 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: a62eff14064c4aab4e526860a16cc4578eb6f359f74f2cff06d477330d47e2aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "319bcc3b60f271bbd8be50a041a98502216685ac8aad2cfad9fe763e3213c9b6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-12-18T14:26:21Z",
    "title_canon_sha256": "01d5eb4643b073522604da87899398d61a8eead820126fa96091a96b3f3ce516"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5152",
    "kind": "arxiv",
    "version": 1
  }
}