Pith Number

pith:EJPTC4RI

pith:2025:EJPTC4RIL6TKXTH6ETCNW6XAU5

not attested not anchored not stored refs pending

Allard's interior $\varepsilon$-Regularity Theorem in Alexandrov spaces

Julio C. Correa Hoyos, M\'arcio Fabiano da Silva, Marcos Agnoletto, Stefano Nardulli

arxiv:2504.10758 v3 · 2025-04-14 · math.DG · math.AP · 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{EJPTC4RIL6TKXTH6ETCNW6XAU5}

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	2026-06-09T01:05:06.333618Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

225f3172285fa6abccfe24c4db7ae0a77c2a8ab9111613784616b8ead22d1b1d

Aliases

arxiv: 2504.10758 · arxiv_version: 2504.10758v3 · doi: 10.48550/arxiv.2504.10758 · pith_short_12: EJPTC4RIL6TK · pith_short_16: EJPTC4RIL6TKXTH6 · pith_short_8: EJPTC4RI

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/EJPTC4RIL6TKXTH6ETCNW6XAU5 \
  | 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: 225f3172285fa6abccfe24c4db7ae0a77c2a8ab9111613784616b8ead22d1b1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad1c6b818e2e2275be7c7a2b61e3fb59436fa9b40734ff924f3b8d94f0b3c27a",
    "cross_cats_sorted": [
      "math.AP",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-04-14T23:18:09Z",
    "title_canon_sha256": "137cfa8d8f12a57e82056562f73b0fab1edc8070827c3094bd97f95240c115b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.10758",
    "kind": "arxiv",
    "version": 3
  }
}