Pith Number

pith:LUQC32XH

pith:2012:LUQC32XHZWOIHFOGZDNJ4HPMN7

not attested not anchored not stored refs pending

Functions with bounded variation on a class of Riemannian manifolds with Ricci curvature unbounded from below

Batu G\"uneysu, Diego Pallara

arxiv:1211.6863 v2 · 2012-11-29 · math.DG · math.MG · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LUQC32XHZWOIHFOGZDNJ4HPMN7}

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	2026-05-18T03:35:38.022265Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d202deae7cd9c8395c6c8da9e1dec6ffb89c93b9816b29aa28366a7b5a21488

Aliases

arxiv: 1211.6863 · arxiv_version: 1211.6863v2 · doi: 10.48550/arxiv.1211.6863 · pith_short_12: LUQC32XHZWOI · pith_short_16: LUQC32XHZWOIHFOG · pith_short_8: LUQC32XH

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/LUQC32XHZWOIHFOGZDNJ4HPMN7 \
  | 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: 5d202deae7cd9c8395c6c8da9e1dec6ffb89c93b9816b29aa28366a7b5a21488

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8cc43da142255a7c6fb04bc5399082c9e3f253bea30d87dd137d02e38a7e3c13",
    "cross_cats_sorted": [
      "math.MG",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-11-29T10:08:30Z",
    "title_canon_sha256": "2a270e2d27ad9e2096abb11b5e7a0cfab2412791ceeb99fd7da83879dcfa01c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.6863",
    "kind": "arxiv",
    "version": 2
  }
}