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Pith Number

pith:H47TIQE3

pith:2012:H47TIQE3RJA7F4F4B65AEUUALY
not attested not anchored not stored refs pending

4-dimensional Frobenius manifolds and Painleve' VI

Stefano Romano

arxiv:1209.3959 v2 · 2012-09-18 · math-ph · math.AG · math.MP · nlin.SI

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{H47TIQE3RJA7F4F4B65AEUUALY}

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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 2026-05-18T03:45:11.992075Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

3f3f34409b8a41f2f0bc0fba0252805e2d9c51adff6ea3b62a87c51c819d5397

Aliases

arxiv: 1209.3959 · arxiv_version: 1209.3959v2 · doi: 10.48550/arxiv.1209.3959 · pith_short_12: H47TIQE3RJA7 · pith_short_16: H47TIQE3RJA7F4F4 · pith_short_8: H47TIQE3
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/H47TIQE3RJA7F4F4B65AEUUALY \
  | 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: 3f3f34409b8a41f2f0bc0fba0252805e2d9c51adff6ea3b62a87c51c819d5397
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "7fb1cbed9298eac9e8029d879fc4e637e4308ec9bc7ee167054ac7e7ad3ad5c3",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "nlin.SI"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-09-18T13:40:57Z",
    "title_canon_sha256": "47e0ff56d80158002521040ea228628b3348226c1582413bfc927eded6a48146"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3959",
    "kind": "arxiv",
    "version": 2
  }
}