Pith Number

pith:GIASYQYJ

pith:2017:GIASYQYJGGTIB3QWY3KASOGGPD

not attested not anchored not stored refs pending

Study of the Question of an Ultraviolet Zero in the Six-Loop Beta Function of the O($N$) $\lambda |\vec \phi|^4$ Theory

Robert Shrock

arxiv:1707.06248 v1 · 2017-07-19 · hep-th · hep-lat · 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{GIASYQYJGGTIB3QWY3KASOGGPD}

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.

Receipt and verification

First computed	2026-05-18T00:32:25.600924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

32012c430931a680ee16c6d40938c678ca3aacb3aa6efb69056ed7f6c25d1b92

Aliases

arxiv: 1707.06248 · arxiv_version: 1707.06248v1 · doi: 10.48550/arxiv.1707.06248 · pith_short_12: GIASYQYJGGTI · pith_short_16: GIASYQYJGGTIB3QW · pith_short_8: GIASYQYJ

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/GIASYQYJGGTIB3QWY3KASOGGPD \
  | 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: 32012c430931a680ee16c6d40938c678ca3aacb3aa6efb69056ed7f6c25d1b92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5573abfcfc805fcf110db8b01752836ed898ee2056e5c468864d16e2e0785162",
    "cross_cats_sorted": [
      "hep-lat",
      "hep-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2017-07-19T18:05:18Z",
    "title_canon_sha256": "c9192682ce4ea3a9a0b592260188456500081629e5009ef4deb81574ae91305e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06248",
    "kind": "arxiv",
    "version": 1
  }
}