Pith Number

pith:VZB5HNIJ

pith:2018:VZB5HNIJYB2FGKP2YKXXY4QSCT

not attested not anchored not stored refs pending

Some results on $\eta$-Ricci Soliton and gradient $\rho$-Einstein soliton in a complete Riemannian manifold

Absos Ali Shaikh, Chandan Kumar Mondal

arxiv:1808.04789 v2 · 2018-08-14 · 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{VZB5HNIJYB2FGKP2YKXXY4QSCT}

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	2026-05-18T00:07:54.751380Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ae43d3b509c0745329fac2af7c721214f6f94328f02e38d8233320c73439db6b

Aliases

arxiv: 1808.04789 · arxiv_version: 1808.04789v2 · doi: 10.48550/arxiv.1808.04789 · pith_short_12: VZB5HNIJYB2F · pith_short_16: VZB5HNIJYB2FGKP2 · pith_short_8: VZB5HNIJ

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/VZB5HNIJYB2FGKP2YKXXY4QSCT \
  | 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: ae43d3b509c0745329fac2af7c721214f6f94328f02e38d8233320c73439db6b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3fd55acdfa50e28e1a83ef50597322aa7fe1f16a0b5372f8ae47af2d708b629",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-08-14T16:49:42Z",
    "title_canon_sha256": "d4f60a4e392c01909c2185b607afaf66b8132c96c7ab7f42a1727b1c29e38979"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04789",
    "kind": "arxiv",
    "version": 2
  }
}