Pith Number

pith:FBE35UOB

pith:2016:FBE35UOBWT5RPMETPTTCRPWQYO

not attested not anchored not stored refs pending

On the $C^{1,\alpha}$ Regularity of $p$-Harmonic Functions in the Heisenberg Group

Diego Ricciotti

arxiv:1606.07951 v4 · 2016-06-25 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FBE35UOBWT5RPMETPTTCRPWQYO}

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	2026-05-18T00:33:23.537774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2849bed1c1b4fb17b0937ce628bed0c389a60e50250a91c2391b27221b245c74

Aliases

arxiv: 1606.07951 · arxiv_version: 1606.07951v4 · doi: 10.48550/arxiv.1606.07951 · pith_short_12: FBE35UOBWT5R · pith_short_16: FBE35UOBWT5RPMET · pith_short_8: FBE35UOB

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/FBE35UOBWT5RPMETPTTCRPWQYO \
  | 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: 2849bed1c1b4fb17b0937ce628bed0c389a60e50250a91c2391b27221b245c74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "38624a1cc91291b6c0a13f384e393c99a911d2954ec27472b8ca8adde4ce6b16",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-06-25T19:12:44Z",
    "title_canon_sha256": "c4e4b7c8fd19979a33df7483cd1fe072f2da4b11bac3976796bda0e44a097870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.07951",
    "kind": "arxiv",
    "version": 4
  }
}