Pith Number

pith:CUJGLRI5

pith:2000:CUJGLRI5VJO7SE3QBMO6LYZ727

not attested not anchored not stored refs pending

QED in external field with space-time uniform invariants. Exact solutions

A.E. Goncalves, D.M. Gitman, S.P. Gavrilov

arxiv:hep-th/0004132 v1 · 2000-04-18 · 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{CUJGLRI5VJO7SE3QBMO6LYZ727}

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	2026-05-18T01:06:00.337276Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

151265c51daa5df913700b1de5e33fd7e5b15b45293c8fcc8a2a54a9c996766c

Aliases

arxiv: hep-th/0004132 · arxiv_version: hep-th/0004132v1 · doi: 10.48550/arxiv.hep-th/0004132 · pith_short_12: CUJGLRI5VJO7 · pith_short_16: CUJGLRI5VJO7SE3Q · pith_short_8: CUJGLRI5

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/CUJGLRI5VJO7SE3QBMO6LYZ727 \
  | 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: 151265c51daa5df913700b1de5e33fd7e5b15b45293c8fcc8a2a54a9c996766c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d580ca1c58d090032f0e2d8cbf3f4812698790c7c6a0acc0bae1f527fb9c06b0",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-04-18T20:44:18Z",
    "title_canon_sha256": "bbccb9bd0cafbca5c02f535ec20c67eaaa1b196a7c159ef6bc04411fe0927d4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0004132",
    "kind": "arxiv",
    "version": 1
  }
}