Pith Number

pith:HZYNCIHZ

pith:2024:HZYNCIHZRMRB22RGXVGG567F7H

not attested not anchored not stored refs pending

A note on the frequency gaps between integers in the thin obstacle problem

Federico Franceschini, Ovidiu Savin

arxiv:2412.13425 v1 · 2024-12-18 · 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{HZYNCIHZRMRB22RGXVGG567F7H}

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.

Cited by

1 paper in Pith

Generic regularity of free boundaries in the obstacle problem for the fractional Laplacian

Receipt and verification

First computed	2026-07-05T09:51:01.474722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3e70d120f98b221d6a26bd4c6efbe5f9d2b2cdce4c5bcab7535ea63238c3ee2d

Aliases

arxiv: 2412.13425 · arxiv_version: 2412.13425v1 · doi: 10.48550/arxiv.2412.13425 · pith_short_12: HZYNCIHZRMRB · pith_short_16: HZYNCIHZRMRB22RG · pith_short_8: HZYNCIHZ

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/HZYNCIHZRMRB22RGXVGG567F7H \
  | 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: 3e70d120f98b221d6a26bd4c6efbe5f9d2b2cdce4c5bcab7535ea63238c3ee2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "83175c83f3049ef65cd26404b9a6cf6b8aff849c14d000288c002e2ff7258209",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-18T01:42:28Z",
    "title_canon_sha256": "792d5b18c3a376e0e2b8f7bda5db16d101813bc5e33eb69d2960fa002168ba8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.13425",
    "kind": "arxiv",
    "version": 1
  }
}