Pith Number

pith:X5BFNEPI

pith:2010:X5BFNEPIDY6L6NEFKR73E3SHG5

not attested not anchored not stored refs pending

Gravity as the Square of Gauge Theory

Michael Kiermaier, Tristan Dennen, Yu-tin Huang, Zvi Bern

arxiv:1004.0693 v1 · 2010-04-05 · hep-th · gr-qc · hep-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X5BFNEPIDY6L6NEFKR73E3SHG5}

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

9 papers in Pith

The Smarr Formula is Gauss's Law: A Kerr-Schild Single-Copy Perspective

On differential operators and unifying relations for $1$-loop Feynman integrands

Transmutation operators and expansions for $1$-loop Feynman integrands

Recursive construction for expansions of tree Yang-Mills amplitudes from soft theorem

Residual Symmetries and Their Algebras in the Kerr-Schild Double Copy

Receipt and verification

First computed	2026-05-18T02:33:34.975680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf425691e81e3cbf3485547fb26e47376f4c1c1724427691e28392ae7a5867b8

Aliases

arxiv: 1004.0693 · arxiv_version: 1004.0693v1 · doi: 10.48550/arxiv.1004.0693 · pith_short_12: X5BFNEPIDY6L · pith_short_16: X5BFNEPIDY6L6NEF · pith_short_8: X5BFNEPI

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/X5BFNEPIDY6L6NEFKR73E3SHG5 \
  | 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: bf425691e81e3cbf3485547fb26e47376f4c1c1724427691e28392ae7a5867b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f3c2e8fc02ea4b19c664cb6b0e0c2f46eecdd66d5ee98e4b7870ec7ad5d99208",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-04-05T20:00:02Z",
    "title_canon_sha256": "767ecc586f63784f5e44d50ec62d86cc16c89d9d70ee8856bda7d2989d7258f3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.0693",
    "kind": "arxiv",
    "version": 1
  }
}