Pith Number

pith:HL5M6HFG

pith:2013:HL5M6HFG4NVLHRFF5RWNU5CX7B

not attested not anchored not stored refs pending

Principal eigenvalue of the fractional Laplacian with a large incompressible drift

Krzysztof Bogdan, Tomasz Komorowski

arxiv:1309.6454 v1 · 2013-09-25 · math.AP · math.FA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HL5M6HFG4NVLHRFF5RWNU5CX7B}

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	2026-05-18T03:12:21.030536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3afacf1ca6e36ab3c4a5ec6cda7457f86ee153a1a3c1f19f99028eec1814b4cd

Aliases

arxiv: 1309.6454 · arxiv_version: 1309.6454v1 · doi: 10.48550/arxiv.1309.6454 · pith_short_12: HL5M6HFG4NVL · pith_short_16: HL5M6HFG4NVLHRFF · pith_short_8: HL5M6HFG

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/HL5M6HFG4NVLHRFF5RWNU5CX7B \
  | 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: 3afacf1ca6e36ab3c4a5ec6cda7457f86ee153a1a3c1f19f99028eec1814b4cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0457b25f15133c41fb0bad442d5bb4f8682574e6ee4ad5a386742a89fd54f969",
    "cross_cats_sorted": [
      "math.FA",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2013-09-25T10:23:32Z",
    "title_canon_sha256": "e689c8f04c0d7c0fa1e77845311d818eab086768348237c56120cecdabaf313f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.6454",
    "kind": "arxiv",
    "version": 1
  }
}