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Pith Number

pith:PLUZ5U3C

pith:2018:PLUZ5U3C6KSZZYXUZEQCT6FQUH
not attested not anchored not stored refs pending

Adiabatic expansions for Dirac fields, renormalization, and anomalies

Antonio Ferreiro, Eduardo J. S. Villasenor, J. Fernando Barbero G., Jose Navarro-Salas

arxiv:1805.05107 v2 · 2018-05-14 · gr-qc · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{PLUZ5U3C6KSZZYXUZEQCT6FQUH}

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 2026-05-18T00:05:23.542015Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

7ae99ed362f2a59ce2f4c92029f8b0a1ec301d443bb70b6cf98c5a233f1034ef

Aliases

arxiv: 1805.05107 · arxiv_version: 1805.05107v2 · doi: 10.48550/arxiv.1805.05107 · pith_short_12: PLUZ5U3C6KSZ · pith_short_16: PLUZ5U3C6KSZZYXU · pith_short_8: PLUZ5U3C
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/PLUZ5U3C6KSZZYXUZEQCT6FQUH \
  | 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: 7ae99ed362f2a59ce2f4c92029f8b0a1ec301d443bb70b6cf98c5a233f1034ef
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5d6f54eba8be1aa9a82237112cc9531ad07cb526c56e2d8033c9bbef8a2e0a6e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2018-05-14T11:04:36Z",
    "title_canon_sha256": "aa9f72caa6ea2f86fe7a32bce3475a54be9941a9ee3b381f6494c23b030b56b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.05107",
    "kind": "arxiv",
    "version": 2
  }
}