Pith Number

pith:ZT2SYE7X

pith:2017:ZT2SYE7X33EFGFG75B4MJ5P5W3

not attested not anchored not stored refs pending

On A Finite Range Decomposition of the Resolvent of a Fractional Power of the Laplacian II. The Torus

P. K. Mitter

arxiv:1701.04111 v2 · 2017-01-15 · 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{ZT2SYE7X33EFGFG75B4MJ5P5W3}

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	2026-05-18T00:39:00.196469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccf52c13f7dec85314dfe878c4f5fdb6ec8b04b6d4c582a0cf68882c518d77f3

Aliases

arxiv: 1701.04111 · arxiv_version: 1701.04111v2 · doi: 10.48550/arxiv.1701.04111 · pith_short_12: ZT2SYE7X33EF · pith_short_16: ZT2SYE7X33EFGFG7 · pith_short_8: ZT2SYE7X

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/ZT2SYE7X33EFGFG75B4MJ5P5W3 \
  | 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: ccf52c13f7dec85314dfe878c4f5fdb6ec8b04b6d4c582a0cf68882c518d77f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2408643cf2d10ce6d0f27806ef36595d9426cfe6736fe9243a0cb28f14588e7e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-01-15T21:03:37Z",
    "title_canon_sha256": "80432ba1b25263d3b9289c6c3eb9e7f4a1ab713dcf05e4766e29bd06091a05eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.04111",
    "kind": "arxiv",
    "version": 2
  }
}