Pith Number

pith:OMFPKBPC

pith:2026:OMFPKBPCKG64WNGDQUPXIA3PON

not attested not anchored not stored refs pending

Stability of local Riemannian Ricci curvature lower bounds

Federico Renzi, Federico Vitillaro, Francesco Nobili, Luigi Ambrosio

arxiv:2607.27008 v1 · 2026-07-29 · math.DG · math.FA · 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{OMFPKBPCKG64WNGDQUPXIA3PON}

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	2026-07-30T01:23:19.143516Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

730af505e251bdcb34c3851f74036f7363f9e90b5cc69d0eeca72da6cb527738

Aliases

arxiv: 2607.27008 · arxiv_version: 2607.27008v1 · doi: 10.48550/arxiv.2607.27008 · pith_short_12: OMFPKBPCKG64 · pith_short_16: OMFPKBPCKG64WNGD · pith_short_8: OMFPKBPC

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/OMFPKBPCKG64WNGDQUPXIA3PON \
  | 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: 730af505e251bdcb34c3851f74036f7363f9e90b5cc69d0eeca72da6cb527738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3ff13f1c82bcaed462cca23d25c17c77e256cc6ccbeaf32285d71ce737804514",
    "cross_cats_sorted": [
      "math.FA",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2026-07-29T15:05:16Z",
    "title_canon_sha256": "d2dac22d7ed03fe4761187a0026674e4debcd1ec4ced537da9f2ae9da2787de3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27008",
    "kind": "arxiv",
    "version": 1
  }
}