Pith Number

pith:GWE63JSA

pith:2019:GWE63JSAKLYERONX7F5TNHHGTE

not attested not anchored not stored refs pending

Dirac operators and shell interactions: a survey

Fabio Pizzichillo, Thomas Ourmi\`eres-Bonafos

arxiv:1902.03901 v1 · 2019-02-11 · math-ph · math.AP · 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{GWE63JSAKLYERONX7F5TNHHGTE}

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	2026-05-17T23:54:17.620390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3589eda64052f048b9b7f97b369ce699043801ef289f2d9766b2a292fb628b2b

Aliases

arxiv: 1902.03901 · arxiv_version: 1902.03901v1 · doi: 10.48550/arxiv.1902.03901 · pith_short_12: GWE63JSAKLYE · pith_short_16: GWE63JSAKLYERONX · pith_short_8: GWE63JSA

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/GWE63JSAKLYERONX7F5TNHHGTE \
  | 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: 3589eda64052f048b9b7f97b369ce699043801ef289f2d9766b2a292fb628b2b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6585a5bd311ddeabbc1c5f061bdb6a0bf00c8808fd6c946949e80f42484b923e",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2019-02-11T14:38:14Z",
    "title_canon_sha256": "289047044a755deac89742e145bece9c8002e7c9392b275727374f9878e61a9a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.03901",
    "kind": "arxiv",
    "version": 1
  }
}