Pith Number

pith:WDDA3X3W

pith:2018:WDDA3X3WQN5RUMLLJOMHHSB23H

not attested not anchored not stored refs pending

On Warped Product Gradient Yamabe Solitons

Levi Adriano, Marcelo Barboza, Romildo Pina, Willian Isao Tokura

arxiv:1811.09468 v1 · 2018-11-23 · 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{WDDA3X3WQN5RUMLLJOMHHSB23H}

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	2026-05-18T00:00:03.357035Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0c60ddf76837b1a316b4b9873c83ad9c387e1092734d984467d9a56d2e29d5d

Aliases

arxiv: 1811.09468 · arxiv_version: 1811.09468v1 · doi: 10.48550/arxiv.1811.09468 · pith_short_12: WDDA3X3WQN5R · pith_short_16: WDDA3X3WQN5RUMLL · pith_short_8: WDDA3X3W

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/WDDA3X3WQN5RUMLLJOMHHSB23H \
  | 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: b0c60ddf76837b1a316b4b9873c83ad9c387e1092734d984467d9a56d2e29d5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b259d3c0cd011dcd127ba86c3e6d30f882ec214b56e03320801c51a68fcf5540",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-11-23T13:32:09Z",
    "title_canon_sha256": "7918ec12e7caf3185972f0acba56b7a82429125b2fd14393c883c05b85daf4a0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.09468",
    "kind": "arxiv",
    "version": 1
  }
}