Pith Number

pith:DDEEOPIB

pith:2020:DDEEOPIB4DHWSPEDO2ZT6JNJ6H

not attested not anchored not stored refs pending

Anomalous dimensions for $\phi^n$ in scale invariant $d=3$ theory

D.R.T. Jones, I. Jack

arxiv:2007.07190 v4 · 2020-07-14 · 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{DDEEOPIB4DHWSPEDO2ZT6JNJ6H}

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

2 papers in Pith

$\phi^6$ at $6$ (and some $8$) loops in $3d$

Receipt and verification

First computed	2026-07-05T11:13:03.666375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

18c8473d01e0cf693c8376b33f25a9f1d0a17ea09338bbf3659c72288e04466c

Aliases

arxiv: 2007.07190 · arxiv_version: 2007.07190v4 · doi: 10.48550/arxiv.2007.07190 · pith_short_12: DDEEOPIB4DHW · pith_short_16: DDEEOPIB4DHWSPED · pith_short_8: DDEEOPIB

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/DDEEOPIB4DHWSPEDO2ZT6JNJ6H \
  | 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: 18c8473d01e0cf693c8376b33f25a9f1d0a17ea09338bbf3659c72288e04466c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bae1fd6718d8a64c6e8099b50cb9c63e6ee1b026f8f311129a53a91cd9d8cef",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2020-07-14T17:08:45Z",
    "title_canon_sha256": "b0b77404afd3b81d6e59f440c55818dc8e0f65907cafdbafa9af8e5df5ba1a86"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.07190",
    "kind": "arxiv",
    "version": 4
  }
}