Pith Number

pith:LDPCSNYF

pith:2012:LDPCSNYF4WYYHQTU6M3DUABRWN

not attested not anchored not stored refs pending

Ricci curvature bounds for warped products

Christian Ketterer

arxiv:1209.1325 v3 · 2012-09-06 · 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{LDPCSNYF4WYYHQTU6M3DUABRWN}

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	2026-05-18T03:07:41.300878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58de293705e5b183c274f3363a0031b34e2484df695e01d63cc992499eb0630c

Aliases

arxiv: 1209.1325 · arxiv_version: 1209.1325v3 · doi: 10.48550/arxiv.1209.1325 · pith_short_12: LDPCSNYF4WYY · pith_short_16: LDPCSNYF4WYYHQTU · pith_short_8: LDPCSNYF

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/LDPCSNYF4WYYHQTU6M3DUABRWN \
  | 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: 58de293705e5b183c274f3363a0031b34e2484df695e01d63cc992499eb0630c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5ae081d2f7c1b646481ece9f31d8b5f63119787a56765e7135fd437e0396964c",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-06T16:01:07Z",
    "title_canon_sha256": "091d0e61f7ea2a40fe437cee3f4bd2db9ad65f96b2bb49744b62eec1ef0dda55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1325",
    "kind": "arxiv",
    "version": 3
  }
}