Pith Number

pith:7UXY7WSW

pith:2011:7UXY7WSWXTDOP4SHOHDM2WMNY3

not attested not anchored not stored refs pending

Gradient Yamabe Solitons on Warped Products

Chenxu He

arxiv:1109.2343 v1 · 2011-09-11 · 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{7UXY7WSWXTDOP4SHOHDM2WMNY3}

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.

Cited by

1 paper in Pith

Classification of low-dimensional complete gradient Yamabe solitons

Receipt and verification

First computed	2026-05-18T04:13:37.920489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd2f8fda56bcc6e7f24771c6cd598dc6c03efaa05f60ed61ff8fdc3e1c751c99

Aliases

arxiv: 1109.2343 · arxiv_version: 1109.2343v1 · doi: 10.48550/arxiv.1109.2343 · pith_short_12: 7UXY7WSWXTDO · pith_short_16: 7UXY7WSWXTDOP4SH · pith_short_8: 7UXY7WSW

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/7UXY7WSWXTDOP4SHOHDM2WMNY3 \
  | 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: fd2f8fda56bcc6e7f24771c6cd598dc6c03efaa05f60ed61ff8fdc3e1c751c99

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d66e9999c64d957bb900c138cb45ad997e812855e1a8ec1e971ccaa59d516fd9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-09-11T19:50:21Z",
    "title_canon_sha256": "28f2d16722ad5e011561249197b37b098a5b4cec1abae6825007ad0c61bac43d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2343",
    "kind": "arxiv",
    "version": 1
  }
}