Pith Number

pith:DKPIM2XN

pith:2025:DKPIM2XNMF2EMWLMTFQ3WRTO3E

not attested not anchored not stored refs pending

$\phi^3$ theory at six loops

Oliver Schnetz

arxiv:2505.15485 v2 · 2025-05-21 · hep-th · hep-ph · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DKPIM2XNMF2EMWLMTFQ3WRTO3E}

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

7 papers in Pith

Quantum models with the Yang-Lee phase transition

HyperFORM -- a FORM package for parametric integration with hyperlogarithms

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

Graphical Functions by Examples

Receipt and verification

First computed	2026-07-05T11:24:53.152555Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1a9e866aed617446596c9961bb466ed93680a5b0330a233b7b12f9b43a1345d8

Aliases

arxiv: 2505.15485 · arxiv_version: 2505.15485v2 · doi: 10.48550/arxiv.2505.15485 · pith_short_12: DKPIM2XNMF2E · pith_short_16: DKPIM2XNMF2EMWLM · pith_short_8: DKPIM2XN

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/DKPIM2XNMF2EMWLMTFQ3WRTO3E \
  | 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: 1a9e866aed617446596c9961bb466ed93680a5b0330a233b7b12f9b43a1345d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4016e56da3687d2a449a54dc29c7068865ca55b83bf88492b36aa49dca664d6e",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-05-21T13:02:09Z",
    "title_canon_sha256": "daee1f7e2821fd2f7a5022d2cc09f67d54ba765144320c9b5b317359f1e9c037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.15485",
    "kind": "arxiv",
    "version": 2
  }
}