Pith Number

pith:DTJW4KV4

pith:2016:DTJW4KV4MWXUWKNWKA3E74BD6S

not attested not anchored not stored refs pending

Spectral Asymptotics for Fractional Laplacians

Victor Ivrii

arxiv:1603.06364 v3 · 2016-03-21 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DTJW4KV4MWXUWKNWKA3E74BD6S}

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	2026-05-18T00:30:17.738790Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd36e2abc65af4b29b650364ff023f49988352208600e81f87102e6141f4bcd

Aliases

arxiv: 1603.06364 · arxiv_version: 1603.06364v3 · doi: 10.48550/arxiv.1603.06364 · pith_short_12: DTJW4KV4MWXU · pith_short_16: DTJW4KV4MWXUWKNW · pith_short_8: DTJW4KV4

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/DTJW4KV4MWXUWKNWKA3E74BD6S \
  | 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: 1cd36e2abc65af4b29b650364ff023f49988352208600e81f87102e6141f4bcd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e337641f1c28a64e301f1be4f477d004162db7826d1224045ffbb589b7131a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2016-03-21T09:28:47Z",
    "title_canon_sha256": "6682a50a0793f58030e16ad03b6ebc84a17ba62cc0baad347f60b67f4b09f6db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.06364",
    "kind": "arxiv",
    "version": 3
  }
}