Pith Number

pith:V6IXO6MX

pith:2015:V6IXO6MXTZGPY6PKCK5KBKMW5Y

not attested not anchored not stored refs pending

Torsional Rigidity on Compact Riemannian Manifolds with lower Ricci Curvature Bounds

Abdelhalim Hasnaoui, Akrem Makni, Najoua Gamara

arxiv:1504.02747 v1 · 2015-04-10 · 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{V6IXO6MXTZGPY6PKCK5KBKMW5Y}

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	2026-05-18T02:19:06.709255Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

af917779979e4cfc79ea12baa0a996ee17f22d475c11a5e01ee5298039010e54

Aliases

arxiv: 1504.02747 · arxiv_version: 1504.02747v1 · doi: 10.48550/arxiv.1504.02747 · pith_short_12: V6IXO6MXTZGP · pith_short_16: V6IXO6MXTZGPY6PK · pith_short_8: V6IXO6MX

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/V6IXO6MXTZGPY6PKCK5KBKMW5Y \
  | 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: af917779979e4cfc79ea12baa0a996ee17f22d475c11a5e01ee5298039010e54

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "765c0de151b5f7aae384ce1c6ea2442967105657fdcad90bca776346d414c802",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-04-10T17:47:23Z",
    "title_canon_sha256": "0ef524f239d642c4419229ffc9ccff8caa2441decb40063a3e2a00fbe4304471"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.02747",
    "kind": "arxiv",
    "version": 1
  }
}