pith. sign in
Pith Number

pith:4XKMDGMD

pith:2009:4XKMDGMDQ3JZMG4FSKDLNLLEJB
not attested not anchored not stored refs pending

The Ultraviolet Behavior of N=8 Supergravity at Four Loops

H. Johansson, J. J. Carrasco, L. J. Dixon, R. Roiban, Z. Bern

arxiv:0905.2326 v2 · 2009-05-14 · hep-th

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{4XKMDGMDQ3JZMG4FSKDLNLLEJB}

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 2026-05-18T02:24:55.739559Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

e5d4c1998386d3961b859286b6ad64486fdcbb4ee481a7262a5b0aee8845660a

Aliases

arxiv: 0905.2326 · arxiv_version: 0905.2326v2 · doi: 10.48550/arxiv.0905.2326 · pith_short_12: 4XKMDGMDQ3JZ · pith_short_16: 4XKMDGMDQ3JZMG4F · pith_short_8: 4XKMDGMD
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/4XKMDGMDQ3JZMG4FSKDLNLLEJB \
  | 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: e5d4c1998386d3961b859286b6ad64486fdcbb4ee481a7262a5b0aee8845660a
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "3e7c6de2f72c066da7758f5445735d8cc14ee79ae836cf0825ea5bc82b8460dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-05-14T17:04:44Z",
    "title_canon_sha256": "647caa89ea8f7bf7fe4a901252a529eaaf3e8a79ba6882413a3a96e3b4de4c83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2326",
    "kind": "arxiv",
    "version": 2
  }
}