Pith Number

pith:LBFGMVT6

pith:2015:LBFGMVT6KIYQQR44US6SKKEDWG

not attested not anchored not stored refs pending

Intrinsic flat and Gromov-Hausdorff convergence of manifolds with Ricci curvature bounded below

Jacobus W. Portegies, Rostislav Matveev

arxiv:1510.07547 v1 · 2015-10-26 · math.DG · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LBFGMVT6KIYQQR44US6SKKEDWG}

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	2026-05-18T01:29:13.873583Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

584a66567e523108479ca4bd252883b1924ceef35c3a8913984d550635269b7d

Aliases

arxiv: 1510.07547 · arxiv_version: 1510.07547v1 · doi: 10.48550/arxiv.1510.07547 · pith_short_12: LBFGMVT6KIYQ · pith_short_16: LBFGMVT6KIYQQR44 · pith_short_8: LBFGMVT6

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/LBFGMVT6KIYQQR44US6SKKEDWG \
  | 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: 584a66567e523108479ca4bd252883b1924ceef35c3a8913984d550635269b7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "28f5d4fbfc8a35c4e16daba4da1ca3f58ada004ddf86ff56e8b3d52efa544cf5",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-10-26T16:53:07Z",
    "title_canon_sha256": "6fd4921063fa3db0b678cca12acdf2d9ab67630dffd634429ce7bd2b21a15fd1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.07547",
    "kind": "arxiv",
    "version": 1
  }
}