Pith Number

pith:Q3PPX32E

pith:2000:Q3PPX32E4WDMCIQC4SBX4JKUFB

not attested not anchored not stored refs pending

Schwinger Pair Production via Instantons in Strong Electric Fields

Don N. Page (Univ. of Alberta), Sang Pyo Kim (Kunsan Nat'l Univ.)

arxiv:hep-th/0005078 v4 · 2000-05-09 · 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{Q3PPX32E4WDMCIQC4SBX4JKUFB}

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.

Cited by

1 paper in Pith

Resurgence of the Effective Action in Inhomogeneous Fields

Receipt and verification

First computed	2026-07-04T16:20:46.026629Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86defbef44e586c12202e4837e2554285995aee080430fa1bd6c510f8f9cc579

Aliases

arxiv: hep-th/0005078 · arxiv_version: hep-th/0005078v4 · doi: 10.48550/arxiv.hep-th/0005078 · pith_short_12: Q3PPX32E4WDM · pith_short_16: Q3PPX32E4WDMCIQC · pith_short_8: Q3PPX32E

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/Q3PPX32E4WDMCIQC4SBX4JKUFB \
  | 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: 86defbef44e586c12202e4837e2554285995aee080430fa1bd6c510f8f9cc579

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d900495c0fd88ff0dec7bbb125f94abdd9f3e05f12b55a5ac015643c9e85702",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-05-09T09:21:20Z",
    "title_canon_sha256": "33ecc23345b9a5f2b2cddc450956ccd3654c78e532093b5848f4fb4c8c9b466f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0005078",
    "kind": "arxiv",
    "version": 4
  }
}