Pith Number

pith:4AJ5JTQR

pith:2018:4AJ5JTQRCP2GVEQKG4KKGOZA7L

not attested not anchored not stored refs pending

The hydrogen identity for Laplacians

Oliver Knill

arxiv:1803.01464 v1 · 2018-03-05 · math.SP · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AJ5JTQRCP2GVEQKG4KKGOZA7L}

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.

Cited by

1 paper in Pith

Remarks on the Brouwer Conjecture

Receipt and verification

First computed	2026-05-18T00:22:00.616966Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e013d4ce1113f46a920a3714a33b20faf53194fb0ea68c5a5959dc524fece984

Aliases

arxiv: 1803.01464 · arxiv_version: 1803.01464v1 · doi: 10.48550/arxiv.1803.01464 · pith_short_12: 4AJ5JTQRCP2G · pith_short_16: 4AJ5JTQRCP2GVEQK · pith_short_8: 4AJ5JTQR

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/4AJ5JTQRCP2GVEQKG4KKGOZA7L \
  | 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: e013d4ce1113f46a920a3714a33b20faf53194fb0ea68c5a5959dc524fece984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba6a037f6ff3cbfa30d47526789ac552a9a3d777f4004b93a6c3a8e4f8d69acb",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2018-03-05T02:39:55Z",
    "title_canon_sha256": "d9c57f14456d92a7b2dadc41338cbeebbcff3368cfc17ea56fe9e950da143cf3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.01464",
    "kind": "arxiv",
    "version": 1
  }
}