Pith Number

pith:NM5NMJNZ

pith:2016:NM5NMJNZDZ3WXPKPWN5KUCMH64

not attested not anchored not stored refs pending

On the Weyl symbol of the resolvent of the harmonic oscillator

Jan Derezi\'nski, Maciej Karczmarczyk

arxiv:1611.04888 v2 · 2016-11-15 · 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{NM5NMJNZDZ3WXPKPWN5KUCMH64}

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	2026-05-18T00:53:15.383169Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b3ad625b91e776bbd4fb37aaa0987f7180feac577bed6e25d70220aa93464f5

Aliases

arxiv: 1611.04888 · arxiv_version: 1611.04888v2 · doi: 10.48550/arxiv.1611.04888 · pith_short_12: NM5NMJNZDZ3W · pith_short_16: NM5NMJNZDZ3WXPKP · pith_short_8: NM5NMJNZ

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/NM5NMJNZDZ3WXPKPWN5KUCMH64 \
  | 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: 6b3ad625b91e776bbd4fb37aaa0987f7180feac577bed6e25d70220aa93464f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5834b516822400c814d99bca798b8c8c19ec27f1260cebb55454f0cd92faf0d7",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-11-15T15:35:37Z",
    "title_canon_sha256": "95a5d1850a1960836c2ae974b44ba173a41e08492685b8268927017a62c914f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04888",
    "kind": "arxiv",
    "version": 2
  }
}