Pith Number

pith:HLVL7N7Q

pith:2023:HLVL7N7Q32IVIZ53WDEMC7FLDL

not attested not anchored not stored refs pending

Applicability of the Klein-Gordon equation for pair production in vacuum and plasma

Gert Brodin, Haidar Al-Naseri

arxiv:2305.10106 v1 · 2023-05-17 · physics.plasm-ph · hep-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{HLVL7N7Q32IVIZ53WDEMC7FLDL}

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	2026-07-05T07:42:17.285992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aeabfb7f0de915467bbb0c8c17cab1aeca6ad3b3429e89a13b5c22f93d535d5

Aliases

arxiv: 2305.10106 · arxiv_version: 2305.10106v1 · doi: 10.48550/arxiv.2305.10106 · pith_short_12: HLVL7N7Q32IV · pith_short_16: HLVL7N7Q32IVIZ53 · pith_short_8: HLVL7N7Q

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/HLVL7N7Q32IVIZ53WDEMC7FLDL \
  | 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: 3aeabfb7f0de915467bbb0c8c17cab1aeca6ad3b3429e89a13b5c22f93d535d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a54ae6f79f4012dbb22ac22b63713147c3abd42da76fc22c549f812412990c19",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.plasm-ph",
    "submitted_at": "2023-05-17T10:12:19Z",
    "title_canon_sha256": "4373e0b3bd5505761fbcf59c483bb3a3c23b095f99a987d66758a35ebaaf129a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.10106",
    "kind": "arxiv",
    "version": 1
  }
}