pith. sign in
Pith Number

pith:KAIKWBN4

pith:2008:KAIKWBN46U6T4JNUH2GHII7UFH
not attested not anchored not stored refs pending

Dilatation operator and Cayley graphs

E. Onofri, G. M. Cicuta, M. Bonini

arxiv:0805.3957 v2 · 2008-05-26 · hep-th · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{KAIKWBN46U6T4JNUH2GHII7UFH}

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 2026-05-18T02:35:22.206187Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

5010ab05bcf53d3e25b43e8c7423f429f935dbf0c0be255f3641ffaacc2083c0

Aliases

arxiv: 0805.3957 · arxiv_version: 0805.3957v2 · doi: 10.48550/arxiv.0805.3957 · pith_short_12: KAIKWBN46U6T · pith_short_16: KAIKWBN46U6T4JNU · pith_short_8: KAIKWBN4
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/KAIKWBN46U6T4JNUH2GHII7UFH \
  | 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: 5010ab05bcf53d3e25b43e8c7423f429f935dbf0c0be255f3641ffaacc2083c0
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8e07d216f43a80ef5fe4cbe54dde26adf4d5d0da07bd4eac8b4a15b46f0bf76c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2008-05-26T13:45:22Z",
    "title_canon_sha256": "f276290d5b172466a875841185420ec415799629e91724932d2ccff346cfb4e3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0805.3957",
    "kind": "arxiv",
    "version": 2
  }
}