Pith Number

pith:FQMZYECS

pith:2026:FQMZYECSGG6BGP4BOH5ZGBKLR4

not attested not anchored not stored refs pending

The multiloop sunset to all orders

Pierre Vanhove

arxiv:2603.03183 v2 · 2026-03-03 · 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{FQMZYECSGG6BGP4BOH5ZGBKLR4}

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	2026-07-16T01:22:35.513054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c199c105231bc133f8171fb93054b8f069e2cedf4bcf5323f76d56785ac632e

Aliases

arxiv: 2603.03183 · arxiv_version: 2603.03183v2 · doi: 10.48550/arxiv.2603.03183 · pith_short_12: FQMZYECSGG6B · pith_short_16: FQMZYECSGG6BGP4B · pith_short_8: FQMZYECS

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/FQMZYECSGG6BGP4BOH5ZGBKLR4 \
  | 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: 2c199c105231bc133f8171fb93054b8f069e2cedf4bcf5323f76d56785ac632e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d77a537488750603642b62b7e3a30490615c21b4b21487eec1b0ec52374e5d5f",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2026-03-03T17:42:42Z",
    "title_canon_sha256": "d8b16420e7b46cffb37d23864879f1fe8c92aff9d3b753b28f77896bb40a8094"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2603.03183",
    "kind": "arxiv",
    "version": 2
  }
}