Pith Number

pith:MLU4NJNU

pith:2019:MLU4NJNUSWASBV6LTLNPFVWXX4

not attested not anchored not stored refs pending

Optical simulation of the free Dirac equation

Ardiley T. Avelar, Emile R. F. Taillebois, Rafael. M. Gomes, Stephen P. Walborn, Thais de Lima Silva

arxiv:1902.04012 v1 · 2019-02-11 · quant-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MLU4NJNUSWASBV6LTLNPFVWXX4}

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	2026-05-17T23:52:50.883963Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

62e9c6a5b4958120d7cb9adaf2d6d7bf1dca814030506e27689496a78c69fb3e

Aliases

arxiv: 1902.04012 · arxiv_version: 1902.04012v1 · doi: 10.48550/arxiv.1902.04012 · pith_short_12: MLU4NJNUSWAS · pith_short_16: MLU4NJNUSWASBV6L · pith_short_8: MLU4NJNU

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/MLU4NJNUSWASBV6LTLNPFVWXX4 \
  | 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: 62e9c6a5b4958120d7cb9adaf2d6d7bf1dca814030506e27689496a78c69fb3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5e10732480d9eebd96f2984401b9e9aac195eae3ba3360c578f312c4e0aee4f6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2019-02-11T17:40:00Z",
    "title_canon_sha256": "ff2908fc21ebc2b09d5cbe65854ed0e1e02242adf06c27c9059481eed7a1aac1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.04012",
    "kind": "arxiv",
    "version": 1
  }
}