Pith Number

pith:XAELZW2X

pith:2019:XAELZW2XV2T3LEUGRHN3ERSQW5

not attested not anchored not stored refs pending

Properties of Complete Noncompact Warped Product Gradient Yamabe Solitons

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

arxiv:1904.08288 v1 · 2019-04-17 · 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{XAELZW2XV2T3LEUGRHN3ERSQW5}

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	2026-05-17T23:48:18.119919Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b808bcdb57aea7b5928689dbb24650b76d88d0e937a05c8cb0816c0a88377797

Aliases

arxiv: 1904.08288 · arxiv_version: 1904.08288v1 · doi: 10.48550/arxiv.1904.08288 · pith_short_12: XAELZW2XV2T3 · pith_short_16: XAELZW2XV2T3LEUG · pith_short_8: XAELZW2X

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/XAELZW2XV2T3LEUGRHN3ERSQW5 \
  | 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: b808bcdb57aea7b5928689dbb24650b76d88d0e937a05c8cb0816c0a88377797

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "22a0ac1c759f44ecf2b3f76dc784fd1d61a794869cfafaf7c280ba27a42e78c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-17T14:25:25Z",
    "title_canon_sha256": "3a909453e6d40ef7fdb58fc34931d0b9a7ddeeb23e98d018457b35d14a0f0cfb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08288",
    "kind": "arxiv",
    "version": 1
  }
}