Pith Number

pith:TZB4G6KH

pith:2015:TZB4G6KH3OKBTG5X5MSKGGKFI5

not attested not anchored not stored refs pending

On a Finite Range Decomposition of the Resolvent of a Fractional Power of the Laplacian

P. K. Mitter

arxiv:1512.02877 v4 · 2015-12-09 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TZB4G6KH3OKBTG5X5MSKGGKFI5}

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	2026-05-18T00:55:28.628653Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9e43c37947db94199bb7eb24a319454756767013ca62cdd302023d0a2d38f7b5

Aliases

arxiv: 1512.02877 · arxiv_version: 1512.02877v4 · doi: 10.48550/arxiv.1512.02877 · pith_short_12: TZB4G6KH3OKB · pith_short_16: TZB4G6KH3OKBTG5X · pith_short_8: TZB4G6KH

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/TZB4G6KH3OKBTG5X5MSKGGKFI5 \
  | 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: 9e43c37947db94199bb7eb24a319454756767013ca62cdd302023d0a2d38f7b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6794b22b2cd50242b7d8f6a5cc9a4331c94effce567ef44fdc3c46641450fe2",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-12-09T14:34:57Z",
    "title_canon_sha256": "3605bde73e9539e645acbd234b7a3c5c3b455f268043e25bd80cabd03acc73ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02877",
    "kind": "arxiv",
    "version": 4
  }
}