Pith Number

pith:7UPAG6E4

pith:2026:7UPAG6E46MPBGFUIXWQLFOR3K2

not attested not anchored not stored refs pending

Bare effective potential and Goldstone boson anti-resummation

Stephen P. Martin

arxiv:2608.04182 v1 · 2026-08-04 · 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{7UPAG6E46MPBGFUIXWQLFOR3K2}

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	2026-08-06T01:30:57.567761Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fd1e03789cf31e131688bda0b2ba3b568c22d4c566d22d74d366025deac5bbe3

Aliases

arxiv: 2608.04182 · arxiv_version: 2608.04182v1 · doi: 10.48550/arxiv.2608.04182 · pith_short_12: 7UPAG6E46MPB · pith_short_16: 7UPAG6E46MPBGFUI · pith_short_8: 7UPAG6E4

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/7UPAG6E46MPBGFUIXWQLFOR3K2 \
  | 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: fd1e03789cf31e131688bda0b2ba3b568c22d4c566d22d74d366025deac5bbe3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd8d532cc73373dba00e30bd76bf64f2f1d7589d8fd4c08b247e5b50bde50f47",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2026-08-04T19:40:05Z",
    "title_canon_sha256": "15f504d04720fa8f5d58e33251ba039520d2fc70c8a764e21110b304a40bedde"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.04182",
    "kind": "arxiv",
    "version": 1
  }
}