Pith Number

pith:4SQ4AL53

pith:2000:4SQ4AL53BVEE2WYXRTE4EHEAE6

not attested not anchored not stored refs pending

Effective Action - A Convergent Series - of QED

D. G. Pak, Y. M. Cho

arxiv:hep-th/0006057 v5 · 2000-06-08 · 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{4SQ4AL53BVEE2WYXRTE4EHEAE6}

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

The explicit Lorentz invariant QED pair production rates from superstrings

Receipt and verification

First computed	2026-07-04T16:20:55.037038Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4a1c02fbb0d484d5b178cc9c21c8027b7c08d158cd3166c7b62990c2ecac2b9

Aliases

arxiv: hep-th/0006057 · arxiv_version: hep-th/0006057v5 · doi: 10.48550/arxiv.hep-th/0006057 · pith_short_12: 4SQ4AL53BVEE · pith_short_16: 4SQ4AL53BVEE2WYX · pith_short_8: 4SQ4AL53

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/4SQ4AL53BVEE2WYXRTE4EHEAE6 \
  | 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: e4a1c02fbb0d484d5b178cc9c21c8027b7c08d158cd3166c7b62990c2ecac2b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56b71a34fca063830984bb4aa732c0f53d0eb6dc065b7ae327adc5cf0d50397c",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-06-08T07:32:13Z",
    "title_canon_sha256": "6289fd987a92d917475a2f9004d40aecc6031395831473b97b302f14122acb19"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0006057",
    "kind": "arxiv",
    "version": 5
  }
}