Pith Number

pith:PC4TG3WW

pith:2022:PC4TG3WW2RMGY6USPJZW7BOMZM

not attested not anchored not stored refs pending

Resummation of the $\alpha$ expansion for nonlinear pair production

Greger Torgrimsson

arxiv:2207.05031 v1 · 2022-07-11 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PC4TG3WW2RMGY6USPJZW7BOMZM}

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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.

Cited by

1 paper in Pith

Nonlinear trident using WKB and worldline instantons

Receipt and verification

First computed	2026-07-05T04:39:06.110651Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78b9336ed6d4586c7a927a736f85cccb16f469f8ef6c6b4e3cbb458c073c11ef

Aliases

arxiv: 2207.05031 · arxiv_version: 2207.05031v1 · doi: 10.48550/arxiv.2207.05031 · pith_short_12: PC4TG3WW2RMG · pith_short_16: PC4TG3WW2RMGY6US · pith_short_8: PC4TG3WW

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/PC4TG3WW2RMGY6USPJZW7BOMZM \
  | 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: 78b9336ed6d4586c7a927a736f85cccb16f469f8ef6c6b4e3cbb458c073c11ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "79b96e8c3d6b9a64b676ebf3c0a6db7db5be4e6cd778b3935fb21d6b28eb1aa1",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-07-11T17:37:48Z",
    "title_canon_sha256": "cf1cf0b5a3d3e6d08cda87897c6ab5f35e132184bdab554c8ef94c8f20ff4a5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.05031",
    "kind": "arxiv",
    "version": 1
  }
}