Pith Number

pith:TK65JL2S

pith:2026:TK65JL2SVTLROMVYGJQYRISDWO

not attested not anchored not stored refs pending

The explicit Lorentz invariant QED pair production rates from superstrings

J. X. Lu

arxiv:2608.08712 v1 · 2026-08-09 · hep-th · gr-qc · hep-ph · 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{TK65JL2SVTLROMVYGJQYRISDWO}

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	2026-08-11T01:25:07.078911Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9abdd4af52acd71732b8326188a243b3854e2703e466fa73189813dc23d7f1a5

Aliases

arxiv: 2608.08712 · arxiv_version: 2608.08712v1 · doi: 10.48550/arxiv.2608.08712 · pith_short_12: TK65JL2SVTLR · pith_short_16: TK65JL2SVTLROMVY · pith_short_8: TK65JL2S

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/TK65JL2SVTLROMVYGJQYRISDWO \
  | 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: 9abdd4af52acd71732b8326188a243b3854e2703e466fa73189813dc23d7f1a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "520fb6567ebc60bd5879aec50e5087624e183506df940ac1f035eec388f6beef",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-08-09T13:54:43Z",
    "title_canon_sha256": "6751657c4bd43388fc982990ceb997a2a50c0438d0e523751f0df586e1d1138e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.08712",
    "kind": "arxiv",
    "version": 1
  }
}