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Pith Number

pith:RPTK3SD6

pith:1999:RPTK3SD67CHKU2NKACKLTMZBHE
not attested not anchored not stored refs pending

General structure of the graviton self-energy

F. T. Brandt, J. Frenkel

arxiv:hep-th/9901132 v2 · 1999-01-26 · hep-th · gr-qc · hep-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{RPTK3SD67CHKU2NKACKLTMZBHE}

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 2026-05-18T01:08:00.266395Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

8be6adc87ef88eaa69aa0094b9b3213914d3ac96d4c79eaf8ae6da3355a5a234

Aliases

arxiv: hep-th/9901132 · arxiv_version: hep-th/9901132v2 · doi: 10.48550/arxiv.hep-th/9901132 · pith_short_12: RPTK3SD67CHK · pith_short_16: RPTK3SD67CHKU2NK · pith_short_8: RPTK3SD6
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/RPTK3SD67CHKU2NKACKLTMZBHE \
  | 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: 8be6adc87ef88eaa69aa0094b9b3213914d3ac96d4c79eaf8ae6da3355a5a234
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "ed17292b27b43bd797492581d162f0a5724c393869e6f6c1d6898ada4e40362e",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-01-26T13:43:00Z",
    "title_canon_sha256": "ee7ff8a311028ae7bd117aafcca8b8855a1188b054d0d8d64268ec21e79595d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9901132",
    "kind": "arxiv",
    "version": 2
  }
}