Pith Number

pith:G7GTRFBM

pith:2019:G7GTRFBM4KQL5J3SB7UTVBPLUY

not attested not anchored not stored refs pending

On Warped Product Gradient Ricci-Harmonic Soliton

Elismar Batista, Levi Adriano, Willian Tokura

arxiv:1906.11933 v1 · 2019-06-27 · 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{G7GTRFBM4KQL5J3SB7UTVBPLUY}

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	2026-05-17T23:42:01.554853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37cd38942ce2a0bea7720fe93a85eba62add0a4f5d11597a7c234d012a9dc974

Aliases

arxiv: 1906.11933 · arxiv_version: 1906.11933v1 · doi: 10.48550/arxiv.1906.11933 · pith_short_12: G7GTRFBM4KQL · pith_short_16: G7GTRFBM4KQL5J3S · pith_short_8: G7GTRFBM

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/G7GTRFBM4KQL5J3SB7UTVBPLUY \
  | 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: 37cd38942ce2a0bea7720fe93a85eba62add0a4f5d11597a7c234d012a9dc974

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06a69095a4c396589ead7f78437c00480515e08fc180d1723773affe6ec0d602",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-27T19:55:59Z",
    "title_canon_sha256": "de707a4618d78aed1e74f3a3e0a9be97c43f4403047a246bd92a0c670e397d75"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11933",
    "kind": "arxiv",
    "version": 1
  }
}