pith. sign in
Pith Number

pith:WGAAAVMF

pith:2010:WGAAAVMFALH6LMK7GW4U7ASG2H
not attested not anchored not stored refs pending

Exponential suppression with four legs and an infinity of loops

Andrei I. Davydychev, David J. Broadhurst

arxiv:1007.0237 v1 · 2010-07-01 · hep-th · hep-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{WGAAAVMFALH6LMK7GW4U7ASG2H}

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 2026-05-18T04:33:39.298951Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

b18000558502cfe5b15f35b94f8246d1f3073e6fc99f32874cdffbbef19fe5a2

Aliases

arxiv: 1007.0237 · arxiv_version: 1007.0237v1 · doi: 10.48550/arxiv.1007.0237 · pith_short_12: WGAAAVMFALH6 · pith_short_16: WGAAAVMFALH6LMK7 · pith_short_8: WGAAAVMF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/WGAAAVMFALH6LMK7GW4U7ASG2H \
  | 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: b18000558502cfe5b15f35b94f8246d1f3073e6fc99f32874cdffbbef19fe5a2
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d08b5bbdb6ac2b9fbf0408f11b6264231bb5338db8e9fd062423a1120c95e54a",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2010-07-01T19:32:12Z",
    "title_canon_sha256": "9abdb242607baf6a914b94439f23a3a7dd036dc2f83ebbb53d1dfbaae7a47331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.0237",
    "kind": "arxiv",
    "version": 1
  }
}