Pith Number

pith:M3DAF3LM

pith:2017:M3DAF3LMC74D7ULLO6QI322P5X

not attested not anchored not stored refs pending

On Warped Product Gradient Yamabe Soliton

Levi Adriano, Romildo Pina, Willian I. Tokura

arxiv:1711.11455 v1 · 2017-11-30 · 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{M3DAF3LMC74D7ULLO6QI322P5X}

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	2026-05-18T00:29:11.549203Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66c602ed6c17f83fd16b77a08deb4fedf1d42478d9788a068136e2e4d8e042ca

Aliases

arxiv: 1711.11455 · arxiv_version: 1711.11455v1 · doi: 10.48550/arxiv.1711.11455 · pith_short_12: M3DAF3LMC74D · pith_short_16: M3DAF3LMC74D7ULL · pith_short_8: M3DAF3LM

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/M3DAF3LMC74D7ULLO6QI322P5X \
  | 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: 66c602ed6c17f83fd16b77a08deb4fedf1d42478d9788a068136e2e4d8e042ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b481053581c366c5ef295cd9683317f75ee53a16e94893499bb366e575c89eb3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-11-30T15:00:23Z",
    "title_canon_sha256": "a5c038bf509f8d15814dd7b2e43f3407ee38851bbeaeaa3ecceebd5e4b9f177c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.11455",
    "kind": "arxiv",
    "version": 1
  }
}