Pith Number

pith:RVPTVLYE

pith:2025:RVPTVLYEG5BZQ6APX6STNQAX3M

not attested not anchored not stored refs pending

Existence and Uniqueness for the Fractional Gelfand Equation in $\mathbb{R}$

Enno Lenzmann, Florian P. Lanz

arxiv:2506.07577 v1 · 2025-06-09 · 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{RVPTVLYEG5BZQ6APX6STNQAX3M}

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	2026-07-05T11:18:29.708102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d5f3aaf04374398780fbfa536c017db20f1486b2351323bce7932e9f7bcc687

Aliases

arxiv: 2506.07577 · arxiv_version: 2506.07577v1 · doi: 10.48550/arxiv.2506.07577 · pith_short_12: RVPTVLYEG5BZ · pith_short_16: RVPTVLYEG5BZQ6AP · pith_short_8: RVPTVLYE

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/RVPTVLYEG5BZQ6APX6STNQAX3M \
  | 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: 8d5f3aaf04374398780fbfa536c017db20f1486b2351323bce7932e9f7bcc687

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "afdd2580d88bc921100c9d4b0fddebf872d4d2f3528128ab2f79acb3329c2b80",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-06-09T09:22:26Z",
    "title_canon_sha256": "1618694b87a6b832813bca01d571bac888456b5f7dbdc7204cbe81dbb9ff7e56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.07577",
    "kind": "arxiv",
    "version": 1
  }
}