Pith Number

pith:A5NMNK56

pith:2017:A5NMNK56NGOXFXQC5UEAW6FA3A

not attested not anchored not stored refs pending

Integral representation for fractional Laplace-Beltrami operators

Angel D. Martinez, Antonio Cordoba, Diego Alonso-Oran

arxiv:1704.06126 v1 · 2017-04-20 · math.CA · math.AP · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{A5NMNK56NGOXFXQC5UEAW6FA3A}

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	2026-05-18T00:46:03.227374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

075ac6abbe699d72de02ed080b78a0d81abb9e45ec8c3b92699e9916b1af1faf

Aliases

arxiv: 1704.06126 · arxiv_version: 1704.06126v1 · doi: 10.48550/arxiv.1704.06126 · pith_short_12: A5NMNK56NGOX · pith_short_16: A5NMNK56NGOXFXQC · pith_short_8: A5NMNK56

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/A5NMNK56NGOXFXQC5UEAW6FA3A \
  | 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: 075ac6abbe699d72de02ed080b78a0d81abb9e45ec8c3b92699e9916b1af1faf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f07153c65345eaee491912a9423f35330a3e5230c3d28bc139d201e971521d3",
    "cross_cats_sorted": [
      "math.AP",
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2017-04-20T13:13:50Z",
    "title_canon_sha256": "55c1293c481846e8fcb0c383381ed2c44846c0861f5cbb35909f86f13edd3a56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.06126",
    "kind": "arxiv",
    "version": 1
  }
}