Pith Number

pith:25P47K2P

pith:2019:25P47K2PDYRKHMBXGGY7I3XBCP

not attested not anchored not stored refs pending

Equicontinuity of harmonic functions and compactness of potential kernels

Wolfhard Hansen

arxiv:1904.12726 v2 · 2019-04-29 · 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{25P47K2PDYRKHMBXGGY7I3XBCP}

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	2026-05-17T23:47:24.596245Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d75fcfab4f1e22a3b03731b1f46ee113db57a3f841ea059fe71bb786374fab01

Aliases

arxiv: 1904.12726 · arxiv_version: 1904.12726v2 · doi: 10.48550/arxiv.1904.12726 · pith_short_12: 25P47K2PDYRK · pith_short_16: 25P47K2PDYRKHMBX · pith_short_8: 25P47K2P

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/25P47K2PDYRKHMBXGGY7I3XBCP \
  | 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: d75fcfab4f1e22a3b03731b1f46ee113db57a3f841ea059fe71bb786374fab01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "295962112ae17aefc243840ae04ddb7b9ee2d66cc4596c7324408b6597d4c4a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-04-29T14:10:51Z",
    "title_canon_sha256": "001cc2e407b82f2223b71fe8f1d6e588baf982df390bcea3a7094b5819b48a9b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.12726",
    "kind": "arxiv",
    "version": 2
  }
}