Pith Number

pith:B3HOY6OM

pith:2011:B3HOY6OM37YGHBPXEGWDSDWUXG

not attested not anchored not stored refs pending

Gravitational Contributions to Gauge Green's Functions and Asymptotic Free Power-Law Running of Gauge Coupling

Yong Tang, Yue-Liang Wu

arxiv:1109.4001 v2 · 2011-09-19 · hep-ph · hep-th · math-ph · math.MP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B3HOY6OM37YGHBPXEGWDSDWUXG}

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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

Quantum gravity contributions to the gauge and Yukawa couplings in proper time flow

Receipt and verification

First computed	2026-05-18T04:08:03.456458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0eceec79ccdff06385f721ac390ed4b9adfd0343db5ec10f2ee313bd4a8c45b6

Aliases

arxiv: 1109.4001 · arxiv_version: 1109.4001v2 · doi: 10.48550/arxiv.1109.4001 · pith_short_12: B3HOY6OM37YG · pith_short_16: B3HOY6OM37YGHBPX · pith_short_8: B3HOY6OM

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/B3HOY6OM37YGHBPXEGWDSDWUXG \
  | 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: 0eceec79ccdff06385f721ac390ed4b9adfd0343db5ec10f2ee313bd4a8c45b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "676f73464838ac1bb6bef912a569331196d087c6bfe0ca7e324f70f08789bb68",
    "cross_cats_sorted": [
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-09-19T11:29:33Z",
    "title_canon_sha256": "246abbf7aef3eb74c3f759fce5fe7839241ff90b5f016ad3d1e8631370e29add"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4001",
    "kind": "arxiv",
    "version": 2
  }
}