Pith Number

pith:75JKDX3J

pith:2015:75JKDX3J2EEJBKCUJWLTCTM4LW

not attested not anchored not stored refs pending

On Warped product gradient Ricci Soliton

M\'arcio Lemes de Sousa, Romildo Pina

arxiv:1505.03833 v2 · 2015-05-14 · 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{75JKDX3J2EEJBKCUJWLTCTM4LW}

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	2026-05-18T01:17:05.377683Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ff52a1df69d10890a8544d97314d9c5d84f5c74ef291634188fec7a547c7bc15

Aliases

arxiv: 1505.03833 · arxiv_version: 1505.03833v2 · doi: 10.48550/arxiv.1505.03833 · pith_short_12: 75JKDX3J2EEJ · pith_short_16: 75JKDX3J2EEJBKCU · pith_short_8: 75JKDX3J

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/75JKDX3J2EEJBKCUJWLTCTM4LW \
  | 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: ff52a1df69d10890a8544d97314d9c5d84f5c74ef291634188fec7a547c7bc15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5bc7f51b5b98f711c6c42cac872e4c35a0ef0bcd40a387169c31b91de18fe839",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-14T18:50:42Z",
    "title_canon_sha256": "6e5a0855bb42e72137a54c7517cc6f2fa7f536b26fe440fb5e4b3337b4528cf4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.03833",
    "kind": "arxiv",
    "version": 2
  }
}