Pith Number

pith:EDMF6YWG

pith:2026:EDMF6YWG7BVOLXEJXLHYNXXW2W

not attested not anchored not stored refs pending

Triviality in a Non-Perturbative Second-Order Mean-Field Theory for $\phi^4_4$

Majdouline Borji

arxiv:2608.05998 v1 · 2026-08-06 · math-ph · hep-th · 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{EDMF6YWG7BVOLXEJXLHYNXXW2W}

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	2026-08-07T00:54:53.358569Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

20d85f62c6f86ae5dc89bacf86def6d5aae72646699226b57a1d4bac7bca0138

Aliases

arxiv: 2608.05998 · arxiv_version: 2608.05998v1 · doi: 10.48550/arxiv.2608.05998 · pith_short_12: EDMF6YWG7BVO · pith_short_16: EDMF6YWG7BVOLXEJ · pith_short_8: EDMF6YWG

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/EDMF6YWG7BVOLXEJXLHYNXXW2W \
  | 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: 20d85f62c6f86ae5dc89bacf86def6d5aae72646699226b57a1d4bac7bca0138

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43950487ba2a086aec7ccfdc803829e812926d11494e20d8945da8a2660ac984",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2026-08-06T13:06:37Z",
    "title_canon_sha256": "92cf1e21837bfde1a8228c990d3afa49bbe8f8124feb6b6325a733588bb209b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.05998",
    "kind": "arxiv",
    "version": 1
  }
}