Pith Number

pith:Y3BT4OVL

pith:2013:Y3BT4OVLABX43ZA7C7NCPGT3VV

not attested not anchored not stored refs pending

Warped products in Riemannian manifolds

Kwang-Soon Park

arxiv:1309.5722 v2 · 2013-09-23 · 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{Y3BT4OVLABX43ZA7C7NCPGT3VV}

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	2026-05-17T23:53:15.101797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c6c33e3aab006fcde41f17da279a7bad64d9187cced2cc605ec566322ac3c8fd

Aliases

arxiv: 1309.5722 · arxiv_version: 1309.5722v2 · doi: 10.48550/arxiv.1309.5722 · pith_short_12: Y3BT4OVLABX4 · pith_short_16: Y3BT4OVLABX43ZA7 · pith_short_8: Y3BT4OVL

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/Y3BT4OVLABX43ZA7C7NCPGT3VV \
  | 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: c6c33e3aab006fcde41f17da279a7bad64d9187cced2cc605ec566322ac3c8fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "10b5f5a79811df4c313fa14bcf2881bec6ec60f0de1338355c7b23dec48ef8bf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-09-23T08:01:55Z",
    "title_canon_sha256": "f4e739499c4c889aace1784e0c8cc0db904717351e28c3eb836fd115c1b471f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5722",
    "kind": "arxiv",
    "version": 2
  }
}