Pith Number

pith:PHKWP2E7

pith:1996:PHKWP2E7FYFYCX5CFHGUJLGFNX

not attested not anchored not stored refs pending

Constant External Fields in Gauge Theory and the Spin 0, 1/2, 1 Path Integrals

Christian Schubert, Martin Reuter, Michael G. Schmidt

arxiv:hep-th/9610191 v4 · 1996-10-24 · 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{PHKWP2E7FYFYCX5CFHGUJLGFNX}

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

Euler-Heisenberg actions in higher dimensions

Receipt and verification

First computed	2026-07-04T16:02:24.574971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79d567e89f2e0b815fa229cd44acc56dc03e2acfb4ef565bcd18b6ad7fe3d437

Aliases

arxiv: hep-th/9610191 · arxiv_version: hep-th/9610191v4 · doi: 10.48550/arxiv.hep-th/9610191 · pith_short_12: PHKWP2E7FYFY · pith_short_16: PHKWP2E7FYFYCX5C · pith_short_8: PHKWP2E7

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/PHKWP2E7FYFYCX5CFHGUJLGFNX \
  | 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: 79d567e89f2e0b815fa229cd44acc56dc03e2acfb4ef565bcd18b6ad7fe3d437

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a45a4d843ffa6d6c08c081d0e6a1f3c429f2107fc5a47419e8d456da3e97bab",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1996-10-24T21:56:00Z",
    "title_canon_sha256": "c5b13649fff95b16da380351b1deab410480707b7e9a30ee44aff5b20e4d6efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9610191",
    "kind": "arxiv",
    "version": 4
  }
}