Pith Number

pith:4J5TLPWI

pith:2018:4J5TLPWIUX2TLENWF4G2VTIIRR

not attested not anchored not stored refs pending

Dunkl-Schr\"odinger operators

Amel Hammi, Bechir Amri

arxiv:1802.01547 v1 · 2018-02-05 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4J5TLPWIUX2TLENWF4G2VTIIRR}

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	2026-05-18T00:24:25.599891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27b35bec8a5f53591b62f0daacd088c47d64c5360716571086b5f2a0bc2561d

Aliases

arxiv: 1802.01547 · arxiv_version: 1802.01547v1 · doi: 10.48550/arxiv.1802.01547 · pith_short_12: 4J5TLPWIUX2T · pith_short_16: 4J5TLPWIUX2TLENW · pith_short_8: 4J5TLPWI

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/4J5TLPWIUX2TLENWF4G2VTIIRR \
  | 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: e27b35bec8a5f53591b62f0daacd088c47d64c5360716571086b5f2a0bc2561d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c05731767e12ac9eb1ef00d350c145fbbeeb567bbf2bfc1bc722088c1a33dece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-02-05T18:20:07Z",
    "title_canon_sha256": "72a071da15841d6dbea5223b90a9ec25dd77ff07b1d8155c490a0d9a1c1e46dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.01547",
    "kind": "arxiv",
    "version": 1
  }
}