Pith Number

pith:V22TE3OQ

pith:2019:V22TE3OQMILB7PXDIYAI6HWFL4

not attested not anchored not stored refs pending

Variable Planck mass from the gauge invariant flow equation

Christof Wetterich, Masatoshi Yamada

arxiv:1906.01721 v2 · 2019-06-04 · 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{V22TE3OQMILB7PXDIYAI6HWFL4}

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

4 papers in Pith

Asymptotically safe quantum gravity and its phenomenology -- a review

Towards implications of asymptotically safe gravity for particle physics

Proper-time functional renormalization in $O(N)$ scalar models coupled to gravity

Towards theory constraints on ultralight dark matter from quantum gravity

Receipt and verification

First computed	2026-07-05T00:04:42.485642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeb5326dd062161fbee346008f1ec55f199aed5c420e3ec748a7d9ab7b946faa

Aliases

arxiv: 1906.01721 · arxiv_version: 1906.01721v2 · doi: 10.48550/arxiv.1906.01721 · pith_short_12: V22TE3OQMILB · pith_short_16: V22TE3OQMILB7PXD · pith_short_8: V22TE3OQ

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/V22TE3OQMILB7PXDIYAI6HWFL4 \
  | 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: aeb5326dd062161fbee346008f1ec55f199aed5c420e3ec748a7d9ab7b946faa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48fae6526e9e8637f1acab1acfffc7675e22290e05f7f989a1e315cbdb63dfbb",
    "cross_cats_sorted": [
      "gr-qc",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-06-04T20:51:44Z",
    "title_canon_sha256": "1cafbcaee1b175b5e840aa6c6c09b0b419f5a47d2b4d4c3877d18e83341050fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.01721",
    "kind": "arxiv",
    "version": 2
  }
}