Pith Number

pith:IT5OMDA5

pith:2017:IT5OMDA5W53FGNCPLB2LBA2AN3

not attested not anchored not stored refs pending

A priori H\"older and Lipschitz regularity for generalized $p$-harmonious functions in metric measure spaces

\'Angel Arroyo, Jos\'e G. Llorente

arxiv:1702.07175 v1 · 2017-02-23 · 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{IT5OMDA5W53FGNCPLB2LBA2AN3}

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	2026-05-18T00:50:07.981565Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

44fae60c1db77653344f5874b083406ed5d73b60e087574207e1aaef899bd3d6

Aliases

arxiv: 1702.07175 · arxiv_version: 1702.07175v1 · doi: 10.48550/arxiv.1702.07175 · pith_short_12: IT5OMDA5W53F · pith_short_16: IT5OMDA5W53FGNCP · pith_short_8: IT5OMDA5

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/IT5OMDA5W53FGNCPLB2LBA2AN3 \
  | 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: 44fae60c1db77653344f5874b083406ed5d73b60e087574207e1aaef899bd3d6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9499f779cc6875a2aa7b2eb32a58fc67335575f2f500c3a6fac65abb8b3bb1bb",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-02-23T11:11:14Z",
    "title_canon_sha256": "329fae518a382c9a8af9bbc3d271ba2a6f620edfb53806cd332558a12472e950"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07175",
    "kind": "arxiv",
    "version": 1
  }
}