Pith Number

pith:FOXEK7YS

pith:2020:FOXEK7YSFISVKQSF33SY5LF4I2

not attested not anchored not stored refs pending

Renormalization-Group Behavior of $\phi^3$ Theories in $d=6$ Dimensions

John A. Gracey, Robert Shrock, Thomas A. Ryttov

arxiv:2007.12234 v1 · 2020-07-23 · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FOXEK7YSFISVKQSF33SY5LF4I2}

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

1 paper in Pith

Anomalous dimensions at small spins

Receipt and verification

First computed	2026-07-05T01:29:13.846240Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2bae457f122a25554245dee58eacbc46b5dd41ed570aa350521e56e9c2789bc6

Aliases

arxiv: 2007.12234 · arxiv_version: 2007.12234v1 · doi: 10.48550/arxiv.2007.12234 · pith_short_12: FOXEK7YSFISV · pith_short_16: FOXEK7YSFISVKQSF · pith_short_8: FOXEK7YS

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/FOXEK7YSFISVKQSF33SY5LF4I2 \
  | 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: 2bae457f122a25554245dee58eacbc46b5dd41ed570aa350521e56e9c2789bc6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9cabbfba611fd3f31d5e94f84452f9c4b07a6da37f02cfd25d856e6386e46046",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-07-23T20:10:03Z",
    "title_canon_sha256": "43cd5c4d39960fe14864ea0d554a76119c84bb5f15d74f4e3dcca18296403d80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.12234",
    "kind": "arxiv",
    "version": 1
  }
}